It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 493 493 is not a prime number.
For example, 493 493 can be divided by 7: 493 493 / 7 = 70 499.
For 493 493 to be a prime number, it would have been required that 493 493 has only two divisors, i.e., itself and 1.
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493 493 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 493 493 is about 702.491.
Thus, the square root of 493 493 is not an integer, and therefore 493 493 is not a square number.
The square of a number (here 493 493) is the result of the product of this number (493 493) by itself (i.e., 493 493 × 493 493); the square of 493 493 is sometimes called "raising 493 493 to the power 2", or "493 493 squared".
The square of 493 493 is 243 535 341 049 because 493 493 × 493 493 = 493 4932 = 243 535 341 049.
As a consequence, 493 493 is the square root of 243 535 341 049.
The multiples of 493 493 are all integers evenly divisible by 493 493, that is all numbers such that the remainder of the division by 493 493 is zero. There are infinitely many multiples of 493 493. The smallest multiples of 493 493 are: