It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 497 497 is not a prime number.
For example, 497 497 can be divided by 7: 497 497 / 7 = 71 071.
For 497 497 to be a prime number, it would have been required that 497 497 has only two divisors, i.e., itself and 1.
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497 497 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 497 497 is about 705.335.
Thus, the square root of 497 497 is not an integer, and therefore 497 497 is not a square number.
The square of a number (here 497 497) is the result of the product of this number (497 497) by itself (i.e., 497 497 × 497 497); the square of 497 497 is sometimes called "raising 497 497 to the power 2", or "497 497 squared".
The square of 497 497 is 247 503 265 009 because 497 497 × 497 497 = 497 4972 = 247 503 265 009.
As a consequence, 497 497 is the square root of 247 503 265 009.
The multiples of 497 497 are all integers evenly divisible by 497 497, that is all numbers such that the remainder of the division by 497 497 is zero. There are infinitely many multiples of 497 497. The smallest multiples of 497 497 are: