It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 421 338 is not a prime number.
For example, 421 338 can be divided by 2: 421 338 / 2 = 210 669.
For 421 338 to be a prime number, it would have been required that 421 338 has only two divisors, i.e., itself and 1.
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421 338 is an even number, because it is evenly divisible by 2: 421 338 / 2 = 210 669.
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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 421 338 is about 649.106.
Thus, the square root of 421 338 is not an integer, and therefore 421 338 is not a square number.
The square of a number (here 421 338) is the result of the product of this number (421 338) by itself (i.e., 421 338 × 421 338); the square of 421 338 is sometimes called "raising 421 338 to the power 2", or "421 338 squared".
The square of 421 338 is 177 525 710 244 because 421 338 × 421 338 = 421 3382 = 177 525 710 244.
As a consequence, 421 338 is the square root of 177 525 710 244.
The multiples of 421 338 are all integers evenly divisible by 421 338, that is all numbers such that the remainder of the division by 421 338 is zero. There are infinitely many multiples of 421 338. The smallest multiples of 421 338 are: