17 is the seventh prime number.
17 is the third Fermat number 17 = +1
17 is equal to the sum of the digits of its cube 4913
17 is the first sum of two distinct 4th powers: 17 = 14 + 24
There are 17 essentially different symmetry patterns for a wallpaper design.
It is possible to construct a regular 17 sided polygon using ruler and compasses only.