It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 397 524 is not a prime number.
For example, 397 524 can be divided by 2: 397 524 / 2 = 198 762.
For 397 524 to be a prime number, it would have been required that 397 524 has only two divisors, i.e., itself and 1.
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397 524 is an even number, because it is evenly divisible by 2: 397 524 / 2 = 198 762.
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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 397 524 is about 630.495.
Thus, the square root of 397 524 is not an integer, and therefore 397 524 is not a square number.
The square of a number (here 397 524) is the result of the product of this number (397 524) by itself (i.e., 397 524 × 397 524); the square of 397 524 is sometimes called "raising 397 524 to the power 2", or "397 524 squared".
The square of 397 524 is 158 025 330 576 because 397 524 × 397 524 = 397 5242 = 158 025 330 576.
As a consequence, 397 524 is the square root of 158 025 330 576.
The multiples of 397 524 are all integers evenly divisible by 397 524, that is all numbers such that the remainder of the division by 397 524 is zero. There are infinitely many multiples of 397 524. The smallest multiples of 397 524 are: