It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 421 678 is not a prime number.
For example, 421 678 can be divided by 2: 421 678 / 2 = 210 839.
For 421 678 to be a prime number, it would have been required that 421 678 has only two divisors, i.e., itself and 1.
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421 678 is an even number, because it is evenly divisible by 2: 421 678 / 2 = 210 839.
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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 421 678 is about 649.367.
Thus, the square root of 421 678 is not an integer, and therefore 421 678 is not a square number.
The square of a number (here 421 678) is the result of the product of this number (421 678) by itself (i.e., 421 678 × 421 678); the square of 421 678 is sometimes called "raising 421 678 to the power 2", or "421 678 squared".
The square of 421 678 is 177 812 335 684 because 421 678 × 421 678 = 421 6782 = 177 812 335 684.
As a consequence, 421 678 is the square root of 177 812 335 684.
The multiples of 421 678 are all integers evenly divisible by 421 678, that is all numbers such that the remainder of the division by 421 678 is zero. There are infinitely many multiples of 421 678. The smallest multiples of 421 678 are: