Is 1000 a prime number? What are the divisors of 1000?

## Parity of 1000

1000 is an even number, because it is evenly divisible by 2: 1000 / 2 = 500.

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## Is 1000 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 1000 is about 31.623.

Thus, the square root of 1000 is not an integer, and therefore 1000 is not a square number.

## What is the square number of 1000?

The square of a number (here 1000) is the result of the product of this number (1000) by itself (i.e., 1000 × 1000); the square of 1000 is sometimes called "raising 1000 to the power 2", or "1000 squared".

The square of 1000 is 1 000 000 because 1000 × 1000 = 10002 = 1 000 000.

As a consequence, 1000 is the square root of 1 000 000.

## Number of digits of 1 000

1 000 is a number with 4 digits.

## What are the multiples of 1 000?

The multiples of 1 000 are all integers evenly divisible by 1 000, that is all numbers such that the remainder of the division by 1 000 is zero. There are infinitely many multiples of 1 000. The smallest multiples of 1 000 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 1000). 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 31.623). 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 1000

### Nearest numbers from 1000

• Preceding prime number: 997
• Following prime number: 1 009
Find out whether some integer is a prime number