Is 4967 a prime number? What are the divisors of 4967?

## Is 4967 a prime number?

Yes, 4967 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 4967, the only two divisors are 1 and 4967. Therefore 4967 is a prime number.

As a consequence, 4967 is only a multiple of 1 and 4967.

Since 4967 is a prime number, 4967 is also a deficient number, that is to say 4967 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 4967 without 4967 itself (that is 1, by definition!).

## Parity of 4967

4967 is an odd number, because it is not evenly divisible by 2.

## Is 4967 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 4967 is about 70.477.

Thus, the square root of 4967 is not an integer, and therefore 4967 is not a square number.

Anyway, 4967 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 4967?

The square of a number (here 4967) is the result of the product of this number (4967) by itself (i.e., 4967 × 4967); the square of 4967 is sometimes called "raising 4967 to the power 2", or "4967 squared".

The square of 4967 is 24 671 089 because 4967 × 4967 = 49672 = 24 671 089.

As a consequence, 4967 is the square root of 24 671 089.

## Number of digits of 4967

4967 is a number with 4 digits.

## What are the multiples of 4967?

The multiples of 4967 are all integers evenly divisible by 4967, that is all numbers such that the remainder of the division by 4967 is zero. There are infinitely many multiples of 4967. The smallest multiples of 4967 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4967 too, since 0 × 4967 = 0
• 4967: indeed, 4967 is a multiple of itself, since 4967 is evenly divisible by 4967 (we have 4967 / 4967 = 1, so the remainder of this division is indeed zero)
• 9 934: indeed, 9 934 = 4967 × 2
• 14 901: indeed, 14 901 = 4967 × 3
• 19 868: indeed, 19 868 = 4967 × 4
• 24 835: indeed, 24 835 = 4967 × 5
• etc.

## Nearest numbers from 4967

Find out whether some integer is a prime number