It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 997 138 is not a prime number.
For example, 997 138 can be divided by 2: 997 138 / 2 = 498 569.
For 997 138 to be a prime number, it would have been required that 997 138 has only two divisors, i.e., itself and 1.
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997 138 is an even number, because it is evenly divisible by 2: 997 138 / 2 = 498 569.
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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 997 138 is about 998.568.
Thus, the square root of 997 138 is not an integer, and therefore 997 138 is not a square number.
The square of a number (here 997 138) is the result of the product of this number (997 138) by itself (i.e., 997 138 × 997 138); the square of 997 138 is sometimes called "raising 997 138 to the power 2", or "997 138 squared".
The square of 997 138 is 994 284 191 044 because 997 138 × 997 138 = 997 1382 = 994 284 191 044.
As a consequence, 997 138 is the square root of 994 284 191 044.
The multiples of 997 138 are all integers evenly divisible by 997 138, that is all numbers such that the remainder of the division by 997 138 is zero. There are infinitely many multiples of 997 138. The smallest multiples of 997 138 are: