While stories in the 1960s were almost always self-contained, Gordon's line to Batman that "Catwoman is alive" indicates that she was thought to be dead after falling into a bottomless pit in her previous appearance.
The first episode to feature seatbelts in the batmobile.
The same stuffed leopard's head that hangs in Bruce Wayne's study can also been seen mounted on top of Catwoman's throne, where it connects to her 'gossip phone'.
Henchman Jack O'Shea telephones Catwoman from a phone booth in Glob's Drugstore; this is an apparent takeoff on Hollywood's famous Schwab's Drugstore, where Lana Turner is said to have been discovered while sitting at the lunch counter in a tight sweater. Indeed, this "tribute" is sarcastically elucidated by the lettering on a sign behind the lunch counter in Glob's Drugstore, which "proudly" proclaims that Glob's is "Where show business greats spend their unemployment checks."
The Catusi song is said to be performed by a group called Benedict Arnold and The Traitors. The name spoofs the real life rock band Paul Revere and The Raiders, who themselves would appear in the episode Hizzoner The Penguin.