It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 397 563 is not a prime number.
For example, 397 563 can be divided by 3: 397 563 / 3 = 132 521.
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For 397 563 to be a prime number, it would have been required that 397 563 has only two divisors, i.e., itself and 1.
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397 563 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 397 563 is about 630.526.
Thus, the square root of 397 563 is not an integer, and therefore 397 563 is not a square number.
The square of a number (here 397 563) is the result of the product of this number (397 563) by itself (i.e., 397 563 × 397 563); the square of 397 563 is sometimes called "raising 397 563 to the power 2", or "397 563 squared".
The square of 397 563 is 158 056 338 969 because 397 563 × 397 563 = 397 5632 = 158 056 338 969.
As a consequence, 397 563 is the square root of 158 056 338 969.
The multiples of 397 563 are all integers evenly divisible by 397 563, that is all numbers such that the remainder of the division by 397 563 is zero. There are infinitely many multiples of 397 563. The smallest multiples of 397 563 are: