It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 421 427 is not a prime number.
For example, 421 427 can be divided by 131: 421 427 / 131 = 3 217.
For 421 427 to be a prime number, it would have been required that 421 427 has only two divisors, i.e., itself and 1.
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421 427 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 421 427 is about 649.174.
Thus, the square root of 421 427 is not an integer, and therefore 421 427 is not a square number.
The square of a number (here 421 427) is the result of the product of this number (421 427) by itself (i.e., 421 427 × 421 427); the square of 421 427 is sometimes called "raising 421 427 to the power 2", or "421 427 squared".
The square of 421 427 is 177 600 716 329 because 421 427 × 421 427 = 421 4272 = 177 600 716 329.
As a consequence, 421 427 is the square root of 177 600 716 329.
The multiples of 421 427 are all integers evenly divisible by 421 427, that is all numbers such that the remainder of the division by 421 427 is zero. There are infinitely many multiples of 421 427. The smallest multiples of 421 427 are: