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Numbers is an application to view/check various properties of a number. At present here a list of what's available:
Apocalyptic power
Automorphic (curious)
Abundant,perfect,deficient
Cube
Divisors
Practical 
Powerful 
Even,odd
Evil,odious
Pentagonal 
Repunit 
Tetrahedral (pyramidal) 
Catalan 
Pronic (heteromecic) 
Lazy caterer 
Square-free 
Power of 2
Smith 
Happy 
Narcissistic (Plus Perfect) 
Palindrome 
Palindrome prime 
Prime,composite 
Square 
Triangular 
Twin prime 
Undulating