Is 841 a prime number? What are the divisors of 841?

## Parity of 841

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

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## Is 841 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 841 is 29.

Therefore, the square root of 841 is an integer, and as a consequence 841 is a perfect square.

As a consequence, 29 is the square root of 841.

## What is the square number of 841?

The square of a number (here 841) is the result of the product of this number (841) by itself (i.e., 841 × 841); the square of 841 is sometimes called "raising 841 to the power 2", or "841 squared".

The square of 841 is 707 281 because 841 × 841 = 8412 = 707 281.

As a consequence, 841 is the square root of 707 281.

## Number of digits of 841

841 is a number with 3 digits.

## What are the multiples of 841?

The multiples of 841 are all integers evenly divisible by 841, that is all numbers such that the remainder of the division by 841 is zero. There are infinitely many multiples of 841. The smallest multiples of 841 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 841). 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 29). 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 841

• Preceding numbers: …839, 840
• Following numbers: 842, 843

### Nearest numbers from 841

• Preceding prime number: 839
• Following prime number: 853
Find out whether some integer is a prime number