Is 4969 a prime number? What are the divisors of 4969?

## Is 4969 a prime number?

Yes, 4969 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 4969, the only two divisors are 1 and 4969. Therefore 4969 is a prime number.

As a consequence, 4969 is only a multiple of 1 and 4969.

Since 4969 is a prime number, 4969 is also a deficient number, that is to say 4969 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 4969 without 4969 itself (that is 1, by definition!).

## Parity of 4969

4969 is an odd number, because it is not evenly divisible by 2.

## Is 4969 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 4969 is about 70.491.

Thus, the square root of 4969 is not an integer, and therefore 4969 is not a square number.

Anyway, 4969 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 4969?

The square of a number (here 4969) is the result of the product of this number (4969) by itself (i.e., 4969 × 4969); the square of 4969 is sometimes called "raising 4969 to the power 2", or "4969 squared".

The square of 4969 is 24 690 961 because 4969 × 4969 = 49692 = 24 690 961.

As a consequence, 4969 is the square root of 24 690 961.

## Number of digits of 4969

4969 is a number with 4 digits.

## What are the multiples of 4969?

The multiples of 4969 are all integers evenly divisible by 4969, that is all numbers such that the remainder of the division by 4969 is zero. There are infinitely many multiples of 4969. The smallest multiples of 4969 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4969 too, since 0 × 4969 = 0
• 4969: indeed, 4969 is a multiple of itself, since 4969 is evenly divisible by 4969 (we have 4969 / 4969 = 1, so the remainder of this division is indeed zero)
• 9 938: indeed, 9 938 = 4969 × 2
• 14 907: indeed, 14 907 = 4969 × 3
• 19 876: indeed, 19 876 = 4969 × 4
• 24 845: indeed, 24 845 = 4969 × 5
• etc.

## Nearest numbers from 4969

Find out whether some integer is a prime number