It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 667 409 is not a prime number.
For example, 667 409 can be divided by 251: 667 409 / 251 = 2 659.
For 667 409 to be a prime number, it would have been required that 667 409 has only two divisors, i.e., itself and 1.
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667 409 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 667 409 is about 816.951.
Thus, the square root of 667 409 is not an integer, and therefore 667 409 is not a square number.
The square of a number (here 667 409) is the result of the product of this number (667 409) by itself (i.e., 667 409 × 667 409); the square of 667 409 is sometimes called "raising 667 409 to the power 2", or "667 409 squared".
The square of 667 409 is 445 434 773 281 because 667 409 × 667 409 = 667 4092 = 445 434 773 281.
As a consequence, 667 409 is the square root of 445 434 773 281.
The multiples of 667 409 are all integers evenly divisible by 667 409, that is all numbers such that the remainder of the division by 667 409 is zero. There are infinitely many multiples of 667 409. The smallest multiples of 667 409 are: