Is 871 a prime number? What are the divisors of 871?

## Parity of 871

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

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## Is 871 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 871 is about 29.513.

Thus, the square root of 871 is not an integer, and therefore 871 is not a square number.

## What is the square number of 871?

The square of a number (here 871) is the result of the product of this number (871) by itself (i.e., 871 × 871); the square of 871 is sometimes called "raising 871 to the power 2", or "871 squared".

The square of 871 is 758 641 because 871 × 871 = 8712 = 758 641.

As a consequence, 871 is the square root of 758 641.

## Number of digits of 871

871 is a number with 3 digits.

## What are the multiples of 871?

The multiples of 871 are all integers evenly divisible by 871, that is all numbers such that the remainder of the division by 871 is zero. There are infinitely many multiples of 871. The smallest multiples of 871 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 871). 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 29.513). 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 871

• Preceding numbers: …869, 870
• Following numbers: 872, 873

### Nearest numbers from 871

• Preceding prime number: 863
• Following prime number: 877
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