It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 974 is not a prime number.
For example, 508 974 can be divided by 2: 508 974 / 2 = 254 487.
For 508 974 to be a prime number, it would have been required that 508 974 has only two divisors, i.e., itself and 1.
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508 974 is an even number, because it is evenly divisible by 2: 508 974 / 2 = 254 487.
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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 508 974 is about 713.424.
Thus, the square root of 508 974 is not an integer, and therefore 508 974 is not a square number.
The square of a number (here 508 974) is the result of the product of this number (508 974) by itself (i.e., 508 974 × 508 974); the square of 508 974 is sometimes called "raising 508 974 to the power 2", or "508 974 squared".
The square of 508 974 is 259 054 532 676 because 508 974 × 508 974 = 508 9742 = 259 054 532 676.
As a consequence, 508 974 is the square root of 259 054 532 676.
The multiples of 508 974 are all integers evenly divisible by 508 974, that is all numbers such that the remainder of the division by 508 974 is zero. There are infinitely many multiples of 508 974. The smallest multiples of 508 974 are: