It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 8 629 643 is not a prime number.
For example, 8 629 643 can be divided by 11: 8 629 643 / 11 = 784 513.
For 8 629 643 to be a prime number, it would have been required that 8 629 643 has only two divisors, i.e., itself and 1.
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8 629 643 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 8 629 643 is about 2 937.625.
Thus, the square root of 8 629 643 is not an integer, and therefore 8 629 643 is not a square number.
The square of a number (here 8 629 643) is the result of the product of this number (8 629 643) by itself (i.e., 8 629 643 × 8 629 643); the square of 8 629 643 is sometimes called "raising 8 629 643 to the power 2", or "8 629 643 squared".
The square of 8 629 643 is 74 470 738 307 449 because 8 629 643 × 8 629 643 = 8 629 6432 = 74 470 738 307 449.
As a consequence, 8 629 643 is the square root of 74 470 738 307 449.
The multiples of 8 629 643 are all integers evenly divisible by 8 629 643, that is all numbers such that the remainder of the division by 8 629 643 is zero. There are infinitely many multiples of 8 629 643. The smallest multiples of 8 629 643 are: