It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 427 009 is not a prime number.
For example, 427 009 can be divided by 11: 427 009 / 11 = 38 819.
For 427 009 to be a prime number, it would have been required that 427 009 has only two divisors, i.e., itself and 1.
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427 009 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 427 009 is about 653.459.
Thus, the square root of 427 009 is not an integer, and therefore 427 009 is not a square number.
The square of a number (here 427 009) is the result of the product of this number (427 009) by itself (i.e., 427 009 × 427 009); the square of 427 009 is sometimes called "raising 427 009 to the power 2", or "427 009 squared".
The square of 427 009 is 182 336 686 081 because 427 009 × 427 009 = 427 0092 = 182 336 686 081.
As a consequence, 427 009 is the square root of 182 336 686 081.
The multiples of 427 009 are all integers evenly divisible by 427 009, that is all numbers such that the remainder of the division by 427 009 is zero. There are infinitely many multiples of 427 009. The smallest multiples of 427 009 are: