Like her Paper Towns character Margo Roth Spiegelman – a restless high-school girl who is part-Queen Bee, part-Ally Sheedy oddball from The Breakfast Club – Cara Delevingne is a  mystery.

No matter how many Dubsmash videos or cross-eyed selfies she posts to her 15 million followers on Instagram, her fans still want to see more of her celebrity inner-circle featuring the likes of Taylor Swift, Rihanna and models Karlie Kloss​ and Kendall Jenner, and know more about what career path she'll moonwalk down next.

"I would really love to do comedy. When that dude calls me, that comedy one, not Will [Ferrell]…" she says, thinking aloud.

"Judd Apatow! That's it. Call me Judd. Stop being a twat."

Unless you are an avid fashion-watcher or eyebrow aficionado, you probably have no clue who Delevingne  is, but you should.

On paper, the 22-year-old model, actor and accomplished beat-boxer reads as the perfect blue-blooded English rose. Her mother was a lady-in-waiting to Princess Margaret, her godmother is Joan Collins and she grew up in the well-to-do neighbourhood of Belgravia with her sisters Poppy, a model, Chloe, a scientist, and property developer father Charles.

She is best friends with some of the A-list's most influential stars and is in a high-profile relationship with St Vincent musician Annie Clark. She is the same diminutive height as supermodel Kate Moss yet shows more personality via her expressive bushy brows and Instagram account than most celebrities do in a lifetime.

After years of rejection, Delevingne  got her start modelling in 2011 thanks to Burberry and from there became the darling of the fashion set. Numerous campaigns for Chanel and Yves Saint Laurent cosmetics followed, as well as two appearances in the hugely popular Victoria's Secret annual runway shows, but acting is her great love.

"As a model, I get told to be less animated all the time, all the time," she says.

In person, Delevingne goes from pent-up ball of energy to pensive in the blink of an eye, something she cultivated after attending Britain's most liberal school Bedales​ after being diagnosed with dyspraxia, a neurological condition affecting the co-ordination of her thoughts and movements. Art and drama were her passions, and she has now turned her hyperactivity into a lucrative career.

In Paper Towns, based on the young adult novel by Fault in Our Stars author John Green, Delevingne plays Margo Roth Spiegelman who disappears after pranking her cheating boyfriend. Margo's accomplice is long-time admirer Quentin (Nat Wolff​) who then embarks on a road trip to find her.

"She's an enigma. She amazing. I just wanted to know her more. You just want her to be your friend. I kind of feel like I've put on this myth of her, when I read from the beginning I was like, 'Oh, she's misunderstood, I've made the wrong assumption' which everyone does. It's a good lesson to learn," she says.

After Paper Towns, she is set to appear in four other movies due for release in the coming year, including the adaptation of DC Comics' Suicide Squad alongside Ben Affleck​, Jai Courtney and Margot Robbie.

As well as learning her lines, Delevingne  had to hit the gym at the request of the director of the highly anticipated film, David Ayer.

"As I model I definitely wasn't a person to work out ever, I think because I travelled so much," she says.

"Also, youth; youth is the key to being skinny, if anyone knows that, which everyone does apparently, no one told me. But for this film it's been really fun, just the training and all the different kind of stuff we get to do, it's cool," she says.

She also adds that playing DC's homicidal sorceress in Suicide Squad prepared her for the gun-toting, nunchuck-wielding role of Mother Chucker in Swift's Bad Blood music video, which has clocked up close to 300 million views on YouTube in just eight weeks.

"I didn't need to train for that, I pump my guns everyday," she says with a wink.

Paper Towns is out now.