It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 402 007 is not a prime number.
For example, 402 007 can be divided by 43: 402 007 / 43 = 9 349.
For 402 007 to be a prime number, it would have been required that 402 007 has only two divisors, i.e., itself and 1.
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402 007 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 402 007 is about 634.040.
Thus, the square root of 402 007 is not an integer, and therefore 402 007 is not a square number.
The square of a number (here 402 007) is the result of the product of this number (402 007) by itself (i.e., 402 007 × 402 007); the square of 402 007 is sometimes called "raising 402 007 to the power 2", or "402 007 squared".
The square of 402 007 is 161 609 628 049 because 402 007 × 402 007 = 402 0072 = 161 609 628 049.
As a consequence, 402 007 is the square root of 161 609 628 049.
The multiples of 402 007 are all integers evenly divisible by 402 007, that is all numbers such that the remainder of the division by 402 007 is zero. There are infinitely many multiples of 402 007. The smallest multiples of 402 007 are: