The Anti-Gutenberg 3000 book burning machine is set at the temperature 451° F, a reference to the Ray Bradbury novel Fahrenheit 451.
When Morty goes to another dimension, flying over Morty's head is the Planet Express Ship from Futurama (1999), which means Morty traveled to 2999.
The Simpsons aliens Kang and Kodos make a cameo appearance in the couch gag.
The song that runs during the second Mathlete competition is Kate Bush's song "Pi."
The title is a reference to the condition "athlete's foot".