Catwoman's henchmen in this episode are named Penn, Brown, and Cornell - all famous Ivy League universities.
The name of the character Captain Courageous came from the title of the Rudyard Kipling novel Captains Courageous.
When Bruce and Catwoman are introduced at the beginning of the episode, Bruce responds brusquely that they've already met. This possibly refers to their encounter in the Batman movie, marking one of the series few continuity references.
The exterior shots of Gotham Prison are actually the historic Joliet Correctional Center. The distinctive prison is seen in many shows and movies including Prison Break and The Blues Brothers.
Adam West and Paul Mantee co-starred three years earlier in Robinson Crusoe on Mars (1964). Interestingly, West's scenes only accounted for a few minutes of screen time in that film.