It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 8 209 364 is not a prime number.
For example, 8 209 364 can be divided by 2: 8 209 364 / 2 = 4 104 682.
For 8 209 364 to be a prime number, it would have been required that 8 209 364 has only two divisors, i.e., itself and 1.
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8 209 364 is an even number, because it is evenly divisible by 2: 8 209 364 / 2 = 4 104 682.
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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 8 209 364 is about 2 865.199.
Thus, the square root of 8 209 364 is not an integer, and therefore 8 209 364 is not a square number.
The square of a number (here 8 209 364) is the result of the product of this number (8 209 364) by itself (i.e., 8 209 364 × 8 209 364); the square of 8 209 364 is sometimes called "raising 8 209 364 to the power 2", or "8 209 364 squared".
The square of 8 209 364 is 67 393 657 284 496 because 8 209 364 × 8 209 364 = 8 209 3642 = 67 393 657 284 496.
As a consequence, 8 209 364 is the square root of 67 393 657 284 496.
The multiples of 8 209 364 are all integers evenly divisible by 8 209 364, that is all numbers such that the remainder of the division by 8 209 364 is zero. There are infinitely many multiples of 8 209 364. The smallest multiples of 8 209 364 are: