It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 421 707 is not a prime number.
For example, 421 707 can be divided by 3: 421 707 / 3 = 140 569.
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For 421 707 to be a prime number, it would have been required that 421 707 has only two divisors, i.e., itself and 1.
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421 707 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 421 707 is about 649.390.
Thus, the square root of 421 707 is not an integer, and therefore 421 707 is not a square number.
The square of a number (here 421 707) is the result of the product of this number (421 707) by itself (i.e., 421 707 × 421 707); the square of 421 707 is sometimes called "raising 421 707 to the power 2", or "421 707 squared".
The square of 421 707 is 177 836 793 849 because 421 707 × 421 707 = 421 7072 = 177 836 793 849.
As a consequence, 421 707 is the square root of 177 836 793 849.
The multiples of 421 707 are all integers evenly divisible by 421 707, that is all numbers such that the remainder of the division by 421 707 is zero. There are infinitely many multiples of 421 707. The smallest multiples of 421 707 are: