It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 5 623 231 is not a prime number.
For example, 5 623 231 can be divided by 59: 5 623 231 / 59 = 95 309.
For 5 623 231 to be a prime number, it would have been required that 5 623 231 has only two divisors, i.e., itself and 1.
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5 623 231 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 5 623 231 is about 2 371.335.
Thus, the square root of 5 623 231 is not an integer, and therefore 5 623 231 is not a square number.
The square of a number (here 5 623 231) is the result of the product of this number (5 623 231) by itself (i.e., 5 623 231 × 5 623 231); the square of 5 623 231 is sometimes called "raising 5 623 231 to the power 2", or "5 623 231 squared".
The square of 5 623 231 is 31 620 726 879 361 because 5 623 231 × 5 623 231 = 5 623 2312 = 31 620 726 879 361.
As a consequence, 5 623 231 is the square root of 31 620 726 879 361.
The multiples of 5 623 231 are all integers evenly divisible by 5 623 231, that is all numbers such that the remainder of the division by 5 623 231 is zero. There are infinitely many multiples of 5 623 231. The smallest multiples of 5 623 231 are: