Is 4999 a prime number? What are the divisors of 4999?

## Is 4999 a prime number?

Yes, 4999 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 4999, the only two divisors are 1 and 4999. Therefore 4999 is a prime number.

As a consequence, 4999 is only a multiple of 1 and 4999.

Since 4999 is a prime number, 4999 is also a deficient number, that is to say 4999 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 4999 without 4999 itself (that is 1, by definition!).

## Parity of 4999

4999 is an odd number, because it is not evenly divisible by 2.

## Is 4999 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 4999 is about 70.704.

Thus, the square root of 4999 is not an integer, and therefore 4999 is not a square number.

Anyway, 4999 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 4999?

The square of a number (here 4999) is the result of the product of this number (4999) by itself (i.e., 4999 × 4999); the square of 4999 is sometimes called "raising 4999 to the power 2", or "4999 squared".

The square of 4999 is 24 990 001 because 4999 × 4999 = 49992 = 24 990 001.

As a consequence, 4999 is the square root of 24 990 001.

## Number of digits of 4999

4999 is a number with 4 digits.

## What are the multiples of 4999?

The multiples of 4999 are all integers evenly divisible by 4999, that is all numbers such that the remainder of the division by 4999 is zero. There are infinitely many multiples of 4999. The smallest multiples of 4999 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4999 too, since 0 × 4999 = 0
• 4999: indeed, 4999 is a multiple of itself, since 4999 is evenly divisible by 4999 (we have 4999 / 4999 = 1, so the remainder of this division is indeed zero)
• 9 998: indeed, 9 998 = 4999 × 2
• 14 997: indeed, 14 997 = 4999 × 3
• 19 996: indeed, 19 996 = 4999 × 4
• 24 995: indeed, 24 995 = 4999 × 5
• etc.

## Nearest numbers from 4999

Find out whether some integer is a prime number