Is 4679 a prime number? What are the divisors of 4679?

## Is 4679 a prime number?

Yes, 4679 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 4679, the only two divisors are 1 and 4679. Therefore 4679 is a prime number.

As a consequence, 4679 is only a multiple of 1 and 4679.

Since 4679 is a prime number, 4679 is also a deficient number, that is to say 4679 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 4679 without 4679 itself (that is 1, by definition!).

## Parity of 4679

4679 is an odd number, because it is not evenly divisible by 2.

## Is 4679 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 4679 is about 68.403.

Thus, the square root of 4679 is not an integer, and therefore 4679 is not a square number.

Anyway, 4679 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 4679?

The square of a number (here 4679) is the result of the product of this number (4679) by itself (i.e., 4679 × 4679); the square of 4679 is sometimes called "raising 4679 to the power 2", or "4679 squared".

The square of 4679 is 21 893 041 because 4679 × 4679 = 46792 = 21 893 041.

As a consequence, 4679 is the square root of 21 893 041.

## Number of digits of 4679

4679 is a number with 4 digits.

## What are the multiples of 4679?

The multiples of 4679 are all integers evenly divisible by 4679, that is all numbers such that the remainder of the division by 4679 is zero. There are infinitely many multiples of 4679. The smallest multiples of 4679 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4679 too, since 0 × 4679 = 0
• 4679: indeed, 4679 is a multiple of itself, since 4679 is evenly divisible by 4679 (we have 4679 / 4679 = 1, so the remainder of this division is indeed zero)
• 9 358: indeed, 9 358 = 4679 × 2
• 14 037: indeed, 14 037 = 4679 × 3
• 18 716: indeed, 18 716 = 4679 × 4
• 23 395: indeed, 23 395 = 4679 × 5
• etc.

## Nearest numbers from 4679

Find out whether some integer is a prime number