"Crooked" was described as a "synthed-up, deliriously catchy pop-punk" with a "neon-bright" sound.[2] The track fuses "heavy drumbeats and metal guitar riffs",[3] besides featuring a "heavy bass line and fully amplified sound at the chorus."[4] In the track, G-Dragon mixes rap with singing.[3] Lyrically, the single describes a man "full of angst and despair" that demands to be left alone as he spends the night "like a 'crooked-minded person,' because in the end, he's alone and doesn't need anyone's 'sugarcoated sympathy.'"[3]
The song's producer, Teddy Park, commented about the song's placement in the album, stating that "[W]e felt like the album had a lot of trap music, some R&B records, and some club tracks. But GD's like a punk rocker at the same time. He raps and shit, but he really loves that whole punk attitude. So we needed a track that could express that."[5] Additionally, G-Dragon revealed that "Crooked" was "intended to make the audience go crazy during live shows", so the raps and chorus were made "to sound extra catchy so people could easily sing and dance to it.