It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 5 338 921 is not a prime number.
For example, 5 338 921 can be divided by 7: 5 338 921 / 7 = 762 703.
For 5 338 921 to be a prime number, it would have been required that 5 338 921 has only two divisors, i.e., itself and 1.
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5 338 921 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 5 338 921 is about 2 310.611.
Thus, the square root of 5 338 921 is not an integer, and therefore 5 338 921 is not a square number.
The square of a number (here 5 338 921) is the result of the product of this number (5 338 921) by itself (i.e., 5 338 921 × 5 338 921); the square of 5 338 921 is sometimes called "raising 5 338 921 to the power 2", or "5 338 921 squared".
The square of 5 338 921 is 28 504 077 444 241 because 5 338 921 × 5 338 921 = 5 338 9212 = 28 504 077 444 241.
As a consequence, 5 338 921 is the square root of 28 504 077 444 241.
The multiples of 5 338 921 are all integers evenly divisible by 5 338 921, that is all numbers such that the remainder of the division by 5 338 921 is zero. There are infinitely many multiples of 5 338 921. The smallest multiples of 5 338 921 are: