Is 684 a prime number? What are the divisors of 684?

## Parity of 684

684 is an even number, because it is evenly divisible by 2: 684 / 2 = 342.

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## Is 684 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 684 is about 26.153.

Thus, the square root of 684 is not an integer, and therefore 684 is not a square number.

## What is the square number of 684?

The square of a number (here 684) is the result of the product of this number (684) by itself (i.e., 684 × 684); the square of 684 is sometimes called "raising 684 to the power 2", or "684 squared".

The square of 684 is 467 856 because 684 × 684 = 6842 = 467 856.

As a consequence, 684 is the square root of 467 856.

## Number of digits of 684

684 is a number with 3 digits.

## What are the multiples of 684?

The multiples of 684 are all integers evenly divisible by 684, that is all numbers such that the remainder of the division by 684 is zero. There are infinitely many multiples of 684. The smallest multiples of 684 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 684). 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 26.153). 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 684

• Preceding numbers: …682, 683
• Following numbers: 685, 686

### Nearest numbers from 684

• Preceding prime number: 683
• Following prime number: 691
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