Thursday Code Puzzler: Is This An Armstrong Number?

Thursday is code puzzler day here at DZone. The idea is simple: solve the coding problem as efficiently as you can, in any language or framework that you find suitable.

Note: Even though there really is nothing stopping you from finding a solution to this on the internet, try to keep honest, and come up with your own answer.  It's all about the participation!

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Determine if a given number is an Armstrong number

Write a method that will return true if the number passed through as a parameter is an Armstrong number, as defined in Wikipedia . Numbers satisfy this condition if the number is a sum of it's own digits, each raised to the power of the number of digits.

For example, 153 has 3 digits, so everything is raised to the power of 3.
153 = 1 ^{to the power of 3} + 5 to the power of 3 + 3 to the power of 3

Given a single linked list, write a method that will determine if the "next" pointer of one of the nodes is pointing to a previous node in your list.

Catch up on all our previous puzzlers here.