It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 538 214 is not a prime number.
For example, 538 214 can be divided by 2: 538 214 / 2 = 269 107.
For 538 214 to be a prime number, it would have been required that 538 214 has only two divisors, i.e., itself and 1.
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538 214 is an even number, because it is evenly divisible by 2: 538 214 / 2 = 269 107.
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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 538 214 is about 733.631.
Thus, the square root of 538 214 is not an integer, and therefore 538 214 is not a square number.
The square of a number (here 538 214) is the result of the product of this number (538 214) by itself (i.e., 538 214 × 538 214); the square of 538 214 is sometimes called "raising 538 214 to the power 2", or "538 214 squared".
The square of 538 214 is 289 674 309 796 because 538 214 × 538 214 = 538 2142 = 289 674 309 796.
As a consequence, 538 214 is the square root of 289 674 309 796.
The multiples of 538 214 are all integers evenly divisible by 538 214, that is all numbers such that the remainder of the division by 538 214 is zero. There are infinitely many multiples of 538 214. The smallest multiples of 538 214 are: