It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 397 511 is not a prime number.
For example, 397 511 can be divided by 17: 397 511 / 17 = 23 383.
For 397 511 to be a prime number, it would have been required that 397 511 has only two divisors, i.e., itself and 1.
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397 511 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 397 511 is about 630.485.
Thus, the square root of 397 511 is not an integer, and therefore 397 511 is not a square number.
The square of a number (here 397 511) is the result of the product of this number (397 511) by itself (i.e., 397 511 × 397 511); the square of 397 511 is sometimes called "raising 397 511 to the power 2", or "397 511 squared".
The square of 397 511 is 158 014 995 121 because 397 511 × 397 511 = 397 5112 = 158 014 995 121.
As a consequence, 397 511 is the square root of 158 014 995 121.
The multiples of 397 511 are all integers evenly divisible by 397 511, that is all numbers such that the remainder of the division by 397 511 is zero. There are infinitely many multiples of 397 511. The smallest multiples of 397 511 are: