It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 538 274 is not a prime number.
For example, 538 274 can be divided by 2: 538 274 / 2 = 269 137.
For 538 274 to be a prime number, it would have been required that 538 274 has only two divisors, i.e., itself and 1.
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538 274 is an even number, because it is evenly divisible by 2: 538 274 / 2 = 269 137.
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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 538 274 is about 733.672.
Thus, the square root of 538 274 is not an integer, and therefore 538 274 is not a square number.
The square of a number (here 538 274) is the result of the product of this number (538 274) by itself (i.e., 538 274 × 538 274); the square of 538 274 is sometimes called "raising 538 274 to the power 2", or "538 274 squared".
The square of 538 274 is 289 738 899 076 because 538 274 × 538 274 = 538 2742 = 289 738 899 076.
As a consequence, 538 274 is the square root of 289 738 899 076.
The multiples of 538 274 are all integers evenly divisible by 538 274, that is all numbers such that the remainder of the division by 538 274 is zero. There are infinitely many multiples of 538 274. The smallest multiples of 538 274 are: