It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 437 397 is not a prime number.
For example, 437 397 can be divided by 3: 437 397 / 3 = 145 799.
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For 437 397 to be a prime number, it would have been required that 437 397 has only two divisors, i.e., itself and 1.
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437 397 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 437 397 is about 661.360.
Thus, the square root of 437 397 is not an integer, and therefore 437 397 is not a square number.
The square of a number (here 437 397) is the result of the product of this number (437 397) by itself (i.e., 437 397 × 437 397); the square of 437 397 is sometimes called "raising 437 397 to the power 2", or "437 397 squared".
The square of 437 397 is 191 316 135 609 because 437 397 × 437 397 = 437 3972 = 191 316 135 609.
As a consequence, 437 397 is the square root of 191 316 135 609.
The multiples of 437 397 are all integers evenly divisible by 437 397, that is all numbers such that the remainder of the division by 437 397 is zero. There are infinitely many multiples of 437 397. The smallest multiples of 437 397 are: