Is 859 a prime number? What are the divisors of 859?

## Parity of 859

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

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## Is 859 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 859 is about 29.309.

Thus, the square root of 859 is not an integer, and therefore 859 is not a square number.

Anyway, 859 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 859?

The square of a number (here 859) is the result of the product of this number (859) by itself (i.e., 859 × 859); the square of 859 is sometimes called "raising 859 to the power 2", or "859 squared".

The square of 859 is 737 881 because 859 × 859 = 8592 = 737 881.

As a consequence, 859 is the square root of 737 881.

## Number of digits of 859

859 is a number with 3 digits.

## What are the multiples of 859?

The multiples of 859 are all integers evenly divisible by 859, that is all numbers such that the remainder of the division by 859 is zero. There are infinitely many multiples of 859. The smallest multiples of 859 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 859). 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 29.309). 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 859

• Preceding numbers: …857, 858
• Following numbers: 860, 861

### Nearest numbers from 859

• Preceding prime number: 857
• Following prime number: 863
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