It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 9 409 321 is not a prime number.
For example, 9 409 321 can be divided by 647: 9 409 321 / 647 = 14 543.
For 9 409 321 to be a prime number, it would have been required that 9 409 321 has only two divisors, i.e., itself and 1.
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9 409 321 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 9 409 321 is about 3 067.462.
Thus, the square root of 9 409 321 is not an integer, and therefore 9 409 321 is not a square number.
The square of a number (here 9 409 321) is the result of the product of this number (9 409 321) by itself (i.e., 9 409 321 × 9 409 321); the square of 9 409 321 is sometimes called "raising 9 409 321 to the power 2", or "9 409 321 squared".
The square of 9 409 321 is 88 535 321 681 041 because 9 409 321 × 9 409 321 = 9 409 3212 = 88 535 321 681 041.
As a consequence, 9 409 321 is the square root of 88 535 321 681 041.
The multiples of 9 409 321 are all integers evenly divisible by 9 409 321, that is all numbers such that the remainder of the division by 9 409 321 is zero. There are infinitely many multiples of 9 409 321. The smallest multiples of 9 409 321 are: