Is there any kind of notation or operator that can represent the square part of an integer? What about the square free part of an integer? I would like to use them in a formula that I am constructing. At the moment I am simply surrounding the variable in a square for the square part, though, if the variable name is a bit long, it looks more like a rectangle. :P

The square free part I am simply expressing as the original value divided by the square part of itself.

Reference:

Square Part -- from Wolfram MathWorld

Squarefree Part -- from Wolfram MathWorld