It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 6 658 627 is not a prime number.
For example, 6 658 627 can be divided by 101: 6 658 627 / 101 = 65 927.
For 6 658 627 to be a prime number, it would have been required that 6 658 627 has only two divisors, i.e., itself and 1.
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6 658 627 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 6 658 627 is about 2 580.432.
Thus, the square root of 6 658 627 is not an integer, and therefore 6 658 627 is not a square number.
The square of a number (here 6 658 627) is the result of the product of this number (6 658 627) by itself (i.e., 6 658 627 × 6 658 627); the square of 6 658 627 is sometimes called "raising 6 658 627 to the power 2", or "6 658 627 squared".
The square of 6 658 627 is 44 337 313 525 129 because 6 658 627 × 6 658 627 = 6 658 6272 = 44 337 313 525 129.
As a consequence, 6 658 627 is the square root of 44 337 313 525 129.
The multiples of 6 658 627 are all integers evenly divisible by 6 658 627, that is all numbers such that the remainder of the division by 6 658 627 is zero. There are infinitely many multiples of 6 658 627. The smallest multiples of 6 658 627 are: