It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 421 667 is not a prime number.
For example, 421 667 can be divided by 19: 421 667 / 19 = 22 193.
For 421 667 to be a prime number, it would have been required that 421 667 has only two divisors, i.e., itself and 1.
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421 667 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 421 667 is about 649.359.
Thus, the square root of 421 667 is not an integer, and therefore 421 667 is not a square number.
The square of a number (here 421 667) is the result of the product of this number (421 667) by itself (i.e., 421 667 × 421 667); the square of 421 667 is sometimes called "raising 421 667 to the power 2", or "421 667 squared".
The square of 421 667 is 177 803 058 889 because 421 667 × 421 667 = 421 6672 = 177 803 058 889.
As a consequence, 421 667 is the square root of 177 803 058 889.
The multiples of 421 667 are all integers evenly divisible by 421 667, that is all numbers such that the remainder of the division by 421 667 is zero. There are infinitely many multiples of 421 667. The smallest multiples of 421 667 are: