It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 122 564 is not a prime number.
For example, 122 564 can be divided by 2: 122 564 / 2 = 61 282.
For 122 564 to be a prime number, it would have been required that 122 564 has only two divisors, i.e., itself and 1.
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122 564 is an even number, because it is evenly divisible by 2: 122 564 / 2 = 61 282.
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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 122 564 is about 350.091.
Thus, the square root of 122 564 is not an integer, and therefore 122 564 is not a square number.
The square of a number (here 122 564) is the result of the product of this number (122 564) by itself (i.e., 122 564 × 122 564); the square of 122 564 is sometimes called "raising 122 564 to the power 2", or "122 564 squared".
The square of 122 564 is 15 021 934 096 because 122 564 × 122 564 = 122 5642 = 15 021 934 096.
As a consequence, 122 564 is the square root of 15 021 934 096.
The multiples of 122 564 are all integers evenly divisible by 122 564, that is all numbers such that the remainder of the division by 122 564 is zero. There are infinitely many multiples of 122 564. The smallest multiples of 122 564 are: