It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 421 007 is not a prime number.
For example, 421 007 can be divided by 167: 421 007 / 167 = 2 521.
For 421 007 to be a prime number, it would have been required that 421 007 has only two divisors, i.e., itself and 1.
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421 007 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 421 007 is about 648.851.
Thus, the square root of 421 007 is not an integer, and therefore 421 007 is not a square number.
The square of a number (here 421 007) is the result of the product of this number (421 007) by itself (i.e., 421 007 × 421 007); the square of 421 007 is sometimes called "raising 421 007 to the power 2", or "421 007 squared".
The square of 421 007 is 177 246 894 049 because 421 007 × 421 007 = 421 0072 = 177 246 894 049.
As a consequence, 421 007 is the square root of 177 246 894 049.
The multiples of 421 007 are all integers evenly divisible by 421 007, that is all numbers such that the remainder of the division by 421 007 is zero. There are infinitely many multiples of 421 007. The smallest multiples of 421 007 are: