It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 258 164 is not a prime number.
For example, 258 164 can be divided by 2: 258 164 / 2 = 129 082.
For 258 164 to be a prime number, it would have been required that 258 164 has only two divisors, i.e., itself and 1.
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258 164 is an even number, because it is evenly divisible by 2: 258 164 / 2 = 129 082.
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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 258 164 is about 508.098.
Thus, the square root of 258 164 is not an integer, and therefore 258 164 is not a square number.
The square of a number (here 258 164) is the result of the product of this number (258 164) by itself (i.e., 258 164 × 258 164); the square of 258 164 is sometimes called "raising 258 164 to the power 2", or "258 164 squared".
The square of 258 164 is 66 648 650 896 because 258 164 × 258 164 = 258 1642 = 66 648 650 896.
As a consequence, 258 164 is the square root of 66 648 650 896.
The multiples of 258 164 are all integers evenly divisible by 258 164, that is all numbers such that the remainder of the division by 258 164 is zero. There are infinitely many multiples of 258 164. The smallest multiples of 258 164 are: