Is 427 a prime number? What are the divisors of 427?

## Parity of 427

427 is an odd number, because it is not evenly divisible by 2.

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## Is 427 a perfect square number?

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 is about 20.664.

Thus, the square root of 427 is not an integer, and therefore 427 is not a square number.

## What is the square number of 427?

The square of a number (here 427) is the result of the product of this number (427) by itself (i.e., 427 × 427); the square of 427 is sometimes called "raising 427 to the power 2", or "427 squared".

The square of 427 is 182 329 because 427 × 427 = 4272 = 182 329.

As a consequence, 427 is the square root of 182 329.

## Number of digits of 427

427 is a number with 3 digits.

## What are the multiples of 427?

The multiples of 427 are all integers evenly divisible by 427, that is all numbers such that the remainder of the division by 427 is zero. There are infinitely many multiples of 427. The smallest multiples of 427 are:

## How to determine whether an integer is a prime number?

To determine the primality of a number, several algorithms can be used. The most naive technique is to test all divisors strictly smaller to the number of which we want to determine the primality (here 427). First, we can eliminate all even numbers greater than 2 (and hence 4, 6, 8…). Then, we can stop this check when we reach the square root of the number of which we want to determine the primality (here the square root is about 20.664). Historically, the sieve of Eratosthenes (dating from the Greek mathematics) implements this technique in a relatively efficient manner.

More modern techniques include the sieve of Atkin, probabilistic algorithms, and the cyclotomic AKS test.

## Numbers near 427

• Preceding numbers: …425, 426
• Following numbers: 428, 429

### Nearest numbers from 427

• Preceding prime number: 421
• Following prime number: 431
Find out whether some integer is a prime number