It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 397 529 is not a prime number.
For example, 397 529 can be divided by 11: 397 529 / 11 = 36 139.
For 397 529 to be a prime number, it would have been required that 397 529 has only two divisors, i.e., itself and 1.
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397 529 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 397 529 is about 630.499.
Thus, the square root of 397 529 is not an integer, and therefore 397 529 is not a square number.
The square of a number (here 397 529) is the result of the product of this number (397 529) by itself (i.e., 397 529 × 397 529); the square of 397 529 is sometimes called "raising 397 529 to the power 2", or "397 529 squared".
The square of 397 529 is 158 029 305 841 because 397 529 × 397 529 = 397 5292 = 158 029 305 841.
As a consequence, 397 529 is the square root of 158 029 305 841.
The multiples of 397 529 are all integers evenly divisible by 397 529, that is all numbers such that the remainder of the division by 397 529 is zero. There are infinitely many multiples of 397 529. The smallest multiples of 397 529 are: