It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 564 664 is not a prime number.
For example, 564 664 can be divided by 2: 564 664 / 2 = 282 332.
For 564 664 to be a prime number, it would have been required that 564 664 has only two divisors, i.e., itself and 1.
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564 664 is an even number, because it is evenly divisible by 2: 564 664 / 2 = 282 332.
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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 564 664 is about 751.441.
Thus, the square root of 564 664 is not an integer, and therefore 564 664 is not a square number.
The square of a number (here 564 664) is the result of the product of this number (564 664) by itself (i.e., 564 664 × 564 664); the square of 564 664 is sometimes called "raising 564 664 to the power 2", or "564 664 squared".
The square of 564 664 is 318 845 432 896 because 564 664 × 564 664 = 564 6642 = 318 845 432 896.
As a consequence, 564 664 is the square root of 318 845 432 896.
The multiples of 564 664 are all integers evenly divisible by 564 664, that is all numbers such that the remainder of the division by 564 664 is zero. There are infinitely many multiples of 564 664. The smallest multiples of 564 664 are: