It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 537 564 is not a prime number.
For example, 537 564 can be divided by 2: 537 564 / 2 = 268 782.
For 537 564 to be a prime number, it would have been required that 537 564 has only two divisors, i.e., itself and 1.
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537 564 is an even number, because it is evenly divisible by 2: 537 564 / 2 = 268 782.
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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 537 564 is about 733.188.
Thus, the square root of 537 564 is not an integer, and therefore 537 564 is not a square number.
The square of a number (here 537 564) is the result of the product of this number (537 564) by itself (i.e., 537 564 × 537 564); the square of 537 564 is sometimes called "raising 537 564 to the power 2", or "537 564 squared".
The square of 537 564 is 288 975 054 096 because 537 564 × 537 564 = 537 5642 = 288 975 054 096.
As a consequence, 537 564 is the square root of 288 975 054 096.
The multiples of 537 564 are all integers evenly divisible by 537 564, that is all numbers such that the remainder of the division by 537 564 is zero. There are infinitely many multiples of 537 564. The smallest multiples of 537 564 are: