It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 497 201 is not a prime number.
For example, 497 201 can be divided by 421: 497 201 / 421 = 1 181.
For 497 201 to be a prime number, it would have been required that 497 201 has only two divisors, i.e., itself and 1.
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497 201 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 497 201 is about 705.125.
Thus, the square root of 497 201 is not an integer, and therefore 497 201 is not a square number.
The square of a number (here 497 201) is the result of the product of this number (497 201) by itself (i.e., 497 201 × 497 201); the square of 497 201 is sometimes called "raising 497 201 to the power 2", or "497 201 squared".
The square of 497 201 is 247 208 834 401 because 497 201 × 497 201 = 497 2012 = 247 208 834 401.
As a consequence, 497 201 is the square root of 247 208 834 401.
The multiples of 497 201 are all integers evenly divisible by 497 201, that is all numbers such that the remainder of the division by 497 201 is zero. There are infinitely many multiples of 497 201. The smallest multiples of 497 201 are: