Is 7829 a prime number? What are the divisors of 7829?

## Is 7829 a prime number?

Yes, 7829 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 7829, the only two divisors are 1 and 7829. Therefore 7829 is a prime number.

As a consequence, 7829 is only a multiple of 1 and 7829.

Since 7829 is a prime number, 7829 is also a deficient number, that is to say 7829 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 7829 without 7829 itself (that is 1, by definition!).

## Parity of 7829

7829 is an odd number, because it is not evenly divisible by 2.

## Is 7829 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 7829 is about 88.482.

Thus, the square root of 7829 is not an integer, and therefore 7829 is not a square number.

Anyway, 7829 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 7829?

The square of a number (here 7829) is the result of the product of this number (7829) by itself (i.e., 7829 × 7829); the square of 7829 is sometimes called "raising 7829 to the power 2", or "7829 squared".

The square of 7829 is 61 293 241 because 7829 × 7829 = 78292 = 61 293 241.

As a consequence, 7829 is the square root of 61 293 241.

## Number of digits of 7829

7829 is a number with 4 digits.

## What are the multiples of 7829?

The multiples of 7829 are all integers evenly divisible by 7829, that is all numbers such that the remainder of the division by 7829 is zero. There are infinitely many multiples of 7829. The smallest multiples of 7829 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 7829 too, since 0 × 7829 = 0
• 7829: indeed, 7829 is a multiple of itself, since 7829 is evenly divisible by 7829 (we have 7829 / 7829 = 1, so the remainder of this division is indeed zero)
• 15 658: indeed, 15 658 = 7829 × 2
• 23 487: indeed, 23 487 = 7829 × 3
• 31 316: indeed, 31 316 = 7829 × 4
• 39 145: indeed, 39 145 = 7829 × 5
• etc.

## Nearest numbers from 7829

Find out whether some integer is a prime number