It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 538 329 is not a prime number.
For example, 538 329 can be divided by 3: 538 329 / 3 = 179 443.
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For 538 329 to be a prime number, it would have been required that 538 329 has only two divisors, i.e., itself and 1.
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538 329 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 538 329 is about 733.709.
Thus, the square root of 538 329 is not an integer, and therefore 538 329 is not a square number.
The square of a number (here 538 329) is the result of the product of this number (538 329) by itself (i.e., 538 329 × 538 329); the square of 538 329 is sometimes called "raising 538 329 to the power 2", or "538 329 squared".
The square of 538 329 is 289 798 112 241 because 538 329 × 538 329 = 538 3292 = 289 798 112 241.
As a consequence, 538 329 is the square root of 289 798 112 241.
The multiples of 538 329 are all integers evenly divisible by 538 329, that is all numbers such that the remainder of the division by 538 329 is zero. There are infinitely many multiples of 538 329. The smallest multiples of 538 329 are: