It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 492 497 is not a prime number.
For example, 492 497 can be divided by 31: 492 497 / 31 = 15 887.
For 492 497 to be a prime number, it would have been required that 492 497 has only two divisors, i.e., itself and 1.
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492 497 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 492 497 is about 701.781.
Thus, the square root of 492 497 is not an integer, and therefore 492 497 is not a square number.
The square of a number (here 492 497) is the result of the product of this number (492 497) by itself (i.e., 492 497 × 492 497); the square of 492 497 is sometimes called "raising 492 497 to the power 2", or "492 497 squared".
The square of 492 497 is 242 553 295 009 because 492 497 × 492 497 = 492 4972 = 242 553 295 009.
As a consequence, 492 497 is the square root of 242 553 295 009.
The multiples of 492 497 are all integers evenly divisible by 492 497, that is all numbers such that the remainder of the division by 492 497 is zero. There are infinitely many multiples of 492 497. The smallest multiples of 492 497 are: