It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 471 397 is not a prime number.
For example, 471 397 can be divided by 613: 471 397 / 613 = 769.
For 471 397 to be a prime number, it would have been required that 471 397 has only two divisors, i.e., itself and 1.
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471 397 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 471 397 is about 686.584.
Thus, the square root of 471 397 is not an integer, and therefore 471 397 is not a square number.
The square of a number (here 471 397) is the result of the product of this number (471 397) by itself (i.e., 471 397 × 471 397); the square of 471 397 is sometimes called "raising 471 397 to the power 2", or "471 397 squared".
The square of 471 397 is 222 215 131 609 because 471 397 × 471 397 = 471 3972 = 222 215 131 609.
As a consequence, 471 397 is the square root of 222 215 131 609.
The multiples of 471 397 are all integers evenly divisible by 471 397, that is all numbers such that the remainder of the division by 471 397 is zero. There are infinitely many multiples of 471 397. The smallest multiples of 471 397 are: