It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 397 577 is not a prime number.
For example, 397 577 can be divided by 41: 397 577 / 41 = 9 697.
For 397 577 to be a prime number, it would have been required that 397 577 has only two divisors, i.e., itself and 1.
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397 577 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 397 577 is about 630.537.
Thus, the square root of 397 577 is not an integer, and therefore 397 577 is not a square number.
The square of a number (here 397 577) is the result of the product of this number (397 577) by itself (i.e., 397 577 × 397 577); the square of 397 577 is sometimes called "raising 397 577 to the power 2", or "397 577 squared".
The square of 397 577 is 158 067 470 929 because 397 577 × 397 577 = 397 5772 = 158 067 470 929.
As a consequence, 397 577 is the square root of 158 067 470 929.
The multiples of 397 577 are all integers evenly divisible by 397 577, that is all numbers such that the remainder of the division by 397 577 is zero. There are infinitely many multiples of 397 577. The smallest multiples of 397 577 are: