It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 421 209 is not a prime number.
For example, 421 209 can be divided by 3: 421 209 / 3 = 140 403.
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For 421 209 to be a prime number, it would have been required that 421 209 has only two divisors, i.e., itself and 1.
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421 209 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 421 209 is about 649.006.
Thus, the square root of 421 209 is not an integer, and therefore 421 209 is not a square number.
The square of a number (here 421 209) is the result of the product of this number (421 209) by itself (i.e., 421 209 × 421 209); the square of 421 209 is sometimes called "raising 421 209 to the power 2", or "421 209 squared".
The square of 421 209 is 177 417 021 681 because 421 209 × 421 209 = 421 2092 = 177 417 021 681.
As a consequence, 421 209 is the square root of 177 417 021 681.
The multiples of 421 209 are all integers evenly divisible by 421 209, that is all numbers such that the remainder of the division by 421 209 is zero. There are infinitely many multiples of 421 209. The smallest multiples of 421 209 are: