Is 6829 a prime number? What are the divisors of 6829?

## Is 6829 a prime number?

Yes, 6829 is a prime number.

Indeed, the definition of a prime numbers is to have only two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 6829, the only two divisors are 1 and 6829. Therefore 6829 is a prime number.

As a consequence, 6829 is only a multiple of 1 and 6829.

Since 6829 is a prime number, 6829 is also a deficient number, that is to say 6829 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 6829 without 6829 itself (that is 1, by definition!).

## Parity of 6829

6829 is an odd number, because it is not evenly divisible by 2.

## Is 6829 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 6829 is about 82.638.

Thus, the square root of 6829 is not an integer, and therefore 6829 is not a square number.

Anyway, 6829 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 6829?

The square of a number (here 6829) is the result of the product of this number (6829) by itself (i.e., 6829 × 6829); the square of 6829 is sometimes called "raising 6829 to the power 2", or "6829 squared".

The square of 6829 is 46 635 241 because 6829 × 6829 = 68292 = 46 635 241.

As a consequence, 6829 is the square root of 46 635 241.

## Number of digits of 6829

6829 is a number with 4 digits.

## What are the multiples of 6829?

The multiples of 6829 are all integers evenly divisible by 6829, that is all numbers such that the remainder of the division by 6829 is zero. There are infinitely many multiples of 6829. The smallest multiples of 6829 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 6829 too, since 0 × 6829 = 0
• 6829: indeed, 6829 is a multiple of itself, since 6829 is evenly divisible by 6829 (we have 6829 / 6829 = 1, so the remainder of this division is indeed zero)
• 13 658: indeed, 13 658 = 6829 × 2
• 20 487: indeed, 20 487 = 6829 × 3
• 27 316: indeed, 27 316 = 6829 × 4
• 34 145: indeed, 34 145 = 6829 × 5
• etc.

## Nearest numbers from 6829

Find out whether some integer is a prime number