It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 493 497 is not a prime number.
For example, 493 497 can be divided by 3: 493 497 / 3 = 164 499.
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For 493 497 to be a prime number, it would have been required that 493 497 has only two divisors, i.e., itself and 1.
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493 497 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 493 497 is about 702.493.
Thus, the square root of 493 497 is not an integer, and therefore 493 497 is not a square number.
The square of a number (here 493 497) is the result of the product of this number (493 497) by itself (i.e., 493 497 × 493 497); the square of 493 497 is sometimes called "raising 493 497 to the power 2", or "493 497 squared".
The square of 493 497 is 243 539 289 009 because 493 497 × 493 497 = 493 4972 = 243 539 289 009.
As a consequence, 493 497 is the square root of 243 539 289 009.
The multiples of 493 497 are all integers evenly divisible by 493 497, that is all numbers such that the remainder of the division by 493 497 is zero. There are infinitely many multiples of 493 497. The smallest multiples of 493 497 are: