It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 397 538 is not a prime number.
For example, 397 538 can be divided by 2: 397 538 / 2 = 198 769.
For 397 538 to be a prime number, it would have been required that 397 538 has only two divisors, i.e., itself and 1.
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397 538 is an even number, because it is evenly divisible by 2: 397 538 / 2 = 198 769.
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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 397 538 is about 630.506.
Thus, the square root of 397 538 is not an integer, and therefore 397 538 is not a square number.
The square of a number (here 397 538) is the result of the product of this number (397 538) by itself (i.e., 397 538 × 397 538); the square of 397 538 is sometimes called "raising 397 538 to the power 2", or "397 538 squared".
The square of 397 538 is 158 036 461 444 because 397 538 × 397 538 = 397 5382 = 158 036 461 444.
As a consequence, 397 538 is the square root of 158 036 461 444.
The multiples of 397 538 are all integers evenly divisible by 397 538, that is all numbers such that the remainder of the division by 397 538 is zero. There are infinitely many multiples of 397 538. The smallest multiples of 397 538 are: