It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 9 002 123 is not a prime number.
For example, 9 002 123 can be divided by 13: 9 002 123 / 13 = 692 471.
For 9 002 123 to be a prime number, it would have been required that 9 002 123 has only two divisors, i.e., itself and 1.
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9 002 123 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 9 002 123 is about 3 000.354.
Thus, the square root of 9 002 123 is not an integer, and therefore 9 002 123 is not a square number.
The square of a number (here 9 002 123) is the result of the product of this number (9 002 123) by itself (i.e., 9 002 123 × 9 002 123); the square of 9 002 123 is sometimes called "raising 9 002 123 to the power 2", or "9 002 123 squared".
The square of 9 002 123 is 81 038 218 507 129 because 9 002 123 × 9 002 123 = 9 002 1232 = 81 038 218 507 129.
As a consequence, 9 002 123 is the square root of 81 038 218 507 129.
The multiples of 9 002 123 are all integers evenly divisible by 9 002 123, that is all numbers such that the remainder of the division by 9 002 123 is zero. There are infinitely many multiples of 9 002 123. The smallest multiples of 9 002 123 are: