It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 250 164 is not a prime number.
For example, 250 164 can be divided by 2: 250 164 / 2 = 125 082.
For 250 164 to be a prime number, it would have been required that 250 164 has only two divisors, i.e., itself and 1.
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250 164 is an even number, because it is evenly divisible by 2: 250 164 / 2 = 125 082.
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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 250 164 is about 500.164.
Thus, the square root of 250 164 is not an integer, and therefore 250 164 is not a square number.
The square of a number (here 250 164) is the result of the product of this number (250 164) by itself (i.e., 250 164 × 250 164); the square of 250 164 is sometimes called "raising 250 164 to the power 2", or "250 164 squared".
The square of 250 164 is 62 582 026 896 because 250 164 × 250 164 = 250 1642 = 62 582 026 896.
As a consequence, 250 164 is the square root of 62 582 026 896.
The multiples of 250 164 are all integers evenly divisible by 250 164, that is all numbers such that the remainder of the division by 250 164 is zero. There are infinitely many multiples of 250 164. The smallest multiples of 250 164 are: