It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 8 408 609 is not a prime number.
For example, 8 408 609 can be divided by 11: 8 408 609 / 11 = 764 419.
For 8 408 609 to be a prime number, it would have been required that 8 408 609 has only two divisors, i.e., itself and 1.
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8 408 609 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 8 408 609 is about 2 899.760.
Thus, the square root of 8 408 609 is not an integer, and therefore 8 408 609 is not a square number.
The square of a number (here 8 408 609) is the result of the product of this number (8 408 609) by itself (i.e., 8 408 609 × 8 408 609); the square of 8 408 609 is sometimes called "raising 8 408 609 to the power 2", or "8 408 609 squared".
The square of 8 408 609 is 70 704 705 314 881 because 8 408 609 × 8 408 609 = 8 408 6092 = 70 704 705 314 881.
As a consequence, 8 408 609 is the square root of 70 704 705 314 881.
The multiples of 8 408 609 are all integers evenly divisible by 8 408 609, that is all numbers such that the remainder of the division by 8 408 609 is zero. There are infinitely many multiples of 8 408 609. The smallest multiples of 8 408 609 are: