It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 397 523 is not a prime number.
For example, 397 523 can be divided by 7: 397 523 / 7 = 56 789.
For 397 523 to be a prime number, it would have been required that 397 523 has only two divisors, i.e., itself and 1.
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397 523 is an odd number, because it is not evenly divisible by 2.
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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 397 523 is about 630.494.
Thus, the square root of 397 523 is not an integer, and therefore 397 523 is not a square number.
The square of a number (here 397 523) is the result of the product of this number (397 523) by itself (i.e., 397 523 × 397 523); the square of 397 523 is sometimes called "raising 397 523 to the power 2", or "397 523 squared".
The square of 397 523 is 158 024 535 529 because 397 523 × 397 523 = 397 5232 = 158 024 535 529.
As a consequence, 397 523 is the square root of 158 024 535 529.
The multiples of 397 523 are all integers evenly divisible by 397 523, that is all numbers such that the remainder of the division by 397 523 is zero. There are infinitely many multiples of 397 523. The smallest multiples of 397 523 are: