Is 854 a prime number? What are the divisors of 854?

## Parity of 854

854 is an even number, because it is evenly divisible by 2: 854 / 2 = 427.

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## Is 854 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 854 is about 29.223.

Thus, the square root of 854 is not an integer, and therefore 854 is not a square number.

## What is the square number of 854?

The square of a number (here 854) is the result of the product of this number (854) by itself (i.e., 854 × 854); the square of 854 is sometimes called "raising 854 to the power 2", or "854 squared".

The square of 854 is 729 316 because 854 × 854 = 8542 = 729 316.

As a consequence, 854 is the square root of 729 316.

## Number of digits of 854

854 is a number with 3 digits.

## What are the multiples of 854?

The multiples of 854 are all integers evenly divisible by 854, that is all numbers such that the remainder of the division by 854 is zero. There are infinitely many multiples of 854. The smallest multiples of 854 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 854). 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 29.223). 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 854

• Preceding numbers: …852, 853
• Following numbers: 855, 856

### Nearest numbers from 854

• Preceding prime number: 853
• Following prime number: 857
Find out whether some integer is a prime number