It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 212 164 is not a prime number.
For example, 212 164 can be divided by 2: 212 164 / 2 = 106 082.
For 212 164 to be a prime number, it would have been required that 212 164 has only two divisors, i.e., itself and 1.
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212 164 is an even number, because it is evenly divisible by 2: 212 164 / 2 = 106 082.
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A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 212 164 is about 460.613.
Thus, the square root of 212 164 is not an integer, and therefore 212 164 is not a square number.
The square of a number (here 212 164) is the result of the product of this number (212 164) by itself (i.e., 212 164 × 212 164); the square of 212 164 is sometimes called "raising 212 164 to the power 2", or "212 164 squared".
The square of 212 164 is 45 013 562 896 because 212 164 × 212 164 = 212 1642 = 45 013 562 896.
As a consequence, 212 164 is the square root of 45 013 562 896.
The multiples of 212 164 are all integers evenly divisible by 212 164, that is all numbers such that the remainder of the division by 212 164 is zero. There are infinitely many multiples of 212 164. The smallest multiples of 212 164 are: