It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 407 697 is not a prime number.
For example, 407 697 can be divided by 3: 407 697 / 3 = 135 899.
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For 407 697 to be a prime number, it would have been required that 407 697 has only two divisors, i.e., itself and 1.
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407 697 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 407 697 is about 638.512.
Thus, the square root of 407 697 is not an integer, and therefore 407 697 is not a square number.
The square of a number (here 407 697) is the result of the product of this number (407 697) by itself (i.e., 407 697 × 407 697); the square of 407 697 is sometimes called "raising 407 697 to the power 2", or "407 697 squared".
The square of 407 697 is 166 216 843 809 because 407 697 × 407 697 = 407 6972 = 166 216 843 809.
As a consequence, 407 697 is the square root of 166 216 843 809.
The multiples of 407 697 are all integers evenly divisible by 407 697, that is all numbers such that the remainder of the division by 407 697 is zero. There are infinitely many multiples of 407 697. The smallest multiples of 407 697 are: