It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 538 398 is not a prime number.
For example, 538 398 can be divided by 2: 538 398 / 2 = 269 199.
For 538 398 to be a prime number, it would have been required that 538 398 has only two divisors, i.e., itself and 1.
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538 398 is an even number, because it is evenly divisible by 2: 538 398 / 2 = 269 199.
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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 538 398 is about 733.756.
Thus, the square root of 538 398 is not an integer, and therefore 538 398 is not a square number.
The square of a number (here 538 398) is the result of the product of this number (538 398) by itself (i.e., 538 398 × 538 398); the square of 538 398 is sometimes called "raising 538 398 to the power 2", or "538 398 squared".
The square of 538 398 is 289 872 406 404 because 538 398 × 538 398 = 538 3982 = 289 872 406 404.
As a consequence, 538 398 is the square root of 289 872 406 404.
The multiples of 538 398 are all integers evenly divisible by 538 398, that is all numbers such that the remainder of the division by 538 398 is zero. There are infinitely many multiples of 538 398. The smallest multiples of 538 398 are: