It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 3 397 397 is not a prime number.
For example, 3 397 397 can be divided by 59: 3 397 397 / 59 = 57 583.
For 3 397 397 to be a prime number, it would have been required that 3 397 397 has only two divisors, i.e., itself and 1.
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3 397 397 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 3 397 397 is about 1 843.203.
Thus, the square root of 3 397 397 is not an integer, and therefore 3 397 397 is not a square number.
The square of a number (here 3 397 397) is the result of the product of this number (3 397 397) by itself (i.e., 3 397 397 × 3 397 397); the square of 3 397 397 is sometimes called "raising 3 397 397 to the power 2", or "3 397 397 squared".
The square of 3 397 397 is 11 542 306 375 609 because 3 397 397 × 3 397 397 = 3 397 3972 = 11 542 306 375 609.
As a consequence, 3 397 397 is the square root of 11 542 306 375 609.
The multiples of 3 397 397 are all integers evenly divisible by 3 397 397, that is all numbers such that the remainder of the division by 3 397 397 is zero. There are infinitely many multiples of 3 397 397. The smallest multiples of 3 397 397 are: