It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 9 628 609 is not a prime number.
For example, 9 628 609 can be divided by 29: 9 628 609 / 29 = 332 021.
For 9 628 609 to be a prime number, it would have been required that 9 628 609 has only two divisors, i.e., itself and 1.
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9 628 609 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 9 628 609 is 3 103.
Therefore, the square root of 9 628 609 is an integer, and as a consequence 9 628 609 is a perfect square.
The square of a number (here 9 628 609) is the result of the product of this number (9 628 609) by itself (i.e., 9 628 609 × 9 628 609); the square of 9 628 609 is sometimes called "raising 9 628 609 to the power 2", or "9 628 609 squared".
The square of 9 628 609 is 92 710 111 274 881 because 9 628 609 × 9 628 609 = 9 628 6092 = 92 710 111 274 881.
As a consequence, 9 628 609 is the square root of 92 710 111 274 881.
The multiples of 9 628 609 are all integers evenly divisible by 9 628 609, that is all numbers such that the remainder of the division by 9 628 609 is zero. There are infinitely many multiples of 9 628 609. The smallest multiples of 9 628 609 are: