It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 564 574 is not a prime number.
For example, 564 574 can be divided by 2: 564 574 / 2 = 282 287.
For 564 574 to be a prime number, it would have been required that 564 574 has only two divisors, i.e., itself and 1.
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564 574 is an even number, because it is evenly divisible by 2: 564 574 / 2 = 282 287.
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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 564 574 is about 751.381.
Thus, the square root of 564 574 is not an integer, and therefore 564 574 is not a square number.
The square of a number (here 564 574) is the result of the product of this number (564 574) by itself (i.e., 564 574 × 564 574); the square of 564 574 is sometimes called "raising 564 574 to the power 2", or "564 574 squared".
The square of 564 574 is 318 743 801 476 because 564 574 × 564 574 = 564 5742 = 318 743 801 476.
As a consequence, 564 574 is the square root of 318 743 801 476.
The multiples of 564 574 are all integers evenly divisible by 564 574, that is all numbers such that the remainder of the division by 564 574 is zero. There are infinitely many multiples of 564 574. The smallest multiples of 564 574 are: