It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 3 497 is not a prime number.
For example, 3 497 can be divided by 13: 3 497 / 13 = 269.
For 3 497 to be a prime number, it would have been required that 3 497 has only two divisors, i.e., itself and 1.
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3 497 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 3 497 is about 59.135.
Thus, the square root of 3 497 is not an integer, and therefore 3 497 is not a square number.
The square of a number (here 3 497) is the result of the product of this number (3 497) by itself (i.e., 3 497 × 3 497); the square of 3 497 is sometimes called "raising 3 497 to the power 2", or "3 497 squared".
The square of 3 497 is 12 229 009 because 3 497 × 3 497 = 3 4972 = 12 229 009.
As a consequence, 3 497 is the square root of 12 229 009.
The multiples of 3 497 are all integers evenly divisible by 3 497, that is all numbers such that the remainder of the division by 3 497 is zero. There are infinitely many multiples of 3 497. The smallest multiples of 3 497 are: