It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 397 501 is not a prime number.
For example, 397 501 can be divided by 13: 397 501 / 13 = 30 577.
For 397 501 to be a prime number, it would have been required that 397 501 has only two divisors, i.e., itself and 1.
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397 501 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 397 501 is about 630.477.
Thus, the square root of 397 501 is not an integer, and therefore 397 501 is not a square number.
The square of a number (here 397 501) is the result of the product of this number (397 501) by itself (i.e., 397 501 × 397 501); the square of 397 501 is sometimes called "raising 397 501 to the power 2", or "397 501 squared".
The square of 397 501 is 158 007 045 001 because 397 501 × 397 501 = 397 5012 = 158 007 045 001.
As a consequence, 397 501 is the square root of 158 007 045 001.
The multiples of 397 501 are all integers evenly divisible by 397 501, that is all numbers such that the remainder of the division by 397 501 is zero. There are infinitely many multiples of 397 501. The smallest multiples of 397 501 are: