an integer that is a perfect square of another integer.  For example, 49 is the square of 7.  That is, a product of a number multiplied by itself.

A number that is the result of multiplying an integer by itself. Any square number of dots can be arranged in a square array.

In mathematics, a square number, sometimes also called a perfect square, is an integer that can be written as the square of some other integer. (In other words, a number whose square root is an integer.) So for example, 9 is a square number since it can be written as 3 × 3.