It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 8 097 443 is not a prime number.
For example, 8 097 443 can be divided by 787: 8 097 443 / 787 = 10 289.
For 8 097 443 to be a prime number, it would have been required that 8 097 443 has only two divisors, i.e., itself and 1.
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8 097 443 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 8 097 443 is about 2 845.601.
Thus, the square root of 8 097 443 is not an integer, and therefore 8 097 443 is not a square number.
The square of a number (here 8 097 443) is the result of the product of this number (8 097 443) by itself (i.e., 8 097 443 × 8 097 443); the square of 8 097 443 is sometimes called "raising 8 097 443 to the power 2", or "8 097 443 squared".
The square of 8 097 443 is 65 568 583 138 249 because 8 097 443 × 8 097 443 = 8 097 4432 = 65 568 583 138 249.
As a consequence, 8 097 443 is the square root of 65 568 583 138 249.
The multiples of 8 097 443 are all integers evenly divisible by 8 097 443, that is all numbers such that the remainder of the division by 8 097 443 is zero. There are infinitely many multiples of 8 097 443. The smallest multiples of 8 097 443 are: