It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 538 324 is not a prime number.
For example, 538 324 can be divided by 2: 538 324 / 2 = 269 162.
For 538 324 to be a prime number, it would have been required that 538 324 has only two divisors, i.e., itself and 1.
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538 324 is an even number, because it is evenly divisible by 2: 538 324 / 2 = 269 162.
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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 538 324 is about 733.706.
Thus, the square root of 538 324 is not an integer, and therefore 538 324 is not a square number.
The square of a number (here 538 324) is the result of the product of this number (538 324) by itself (i.e., 538 324 × 538 324); the square of 538 324 is sometimes called "raising 538 324 to the power 2", or "538 324 squared".
The square of 538 324 is 289 792 728 976 because 538 324 × 538 324 = 538 3242 = 289 792 728 976.
As a consequence, 538 324 is the square root of 289 792 728 976.
The multiples of 538 324 are all integers evenly divisible by 538 324, that is all numbers such that the remainder of the division by 538 324 is zero. There are infinitely many multiples of 538 324. The smallest multiples of 538 324 are: