It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 122 627 is not a prime number.
For example, 122 627 can be divided by 149: 122 627 / 149 = 823.
For 122 627 to be a prime number, it would have been required that 122 627 has only two divisors, i.e., itself and 1.
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122 627 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 122 627 is about 350.181.
Thus, the square root of 122 627 is not an integer, and therefore 122 627 is not a square number.
The square of a number (here 122 627) is the result of the product of this number (122 627) by itself (i.e., 122 627 × 122 627); the square of 122 627 is sometimes called "raising 122 627 to the power 2", or "122 627 squared".
The square of 122 627 is 15 037 381 129 because 122 627 × 122 627 = 122 6272 = 15 037 381 129.
As a consequence, 122 627 is the square root of 15 037 381 129.
The multiples of 122 627 are all integers evenly divisible by 122 627, that is all numbers such that the remainder of the division by 122 627 is zero. There are infinitely many multiples of 122 627. The smallest multiples of 122 627 are: