Is 2969 a prime number? What are the divisors of 2969?

## Is 2969 a prime number?

Yes, 2969 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 2969, the only two divisors are 1 and 2969. Therefore 2969 is a prime number.

As a consequence, 2969 is only a multiple of 1 and 2969.

Since 2969 is a prime number, 2969 is also a deficient number, that is to say 2969 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 2969 without 2969 itself (that is 1, by definition!).

## Parity of 2969

2969 is an odd number, because it is not evenly divisible by 2.

## Is 2969 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 2969 is about 54.489.

Thus, the square root of 2969 is not an integer, and therefore 2969 is not a square number.

Anyway, 2969 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 2969?

The square of a number (here 2969) is the result of the product of this number (2969) by itself (i.e., 2969 × 2969); the square of 2969 is sometimes called "raising 2969 to the power 2", or "2969 squared".

The square of 2969 is 8 814 961 because 2969 × 2969 = 29692 = 8 814 961.

As a consequence, 2969 is the square root of 8 814 961.

## Number of digits of 2969

2969 is a number with 4 digits.

## What are the multiples of 2969?

The multiples of 2969 are all integers evenly divisible by 2969, that is all numbers such that the remainder of the division by 2969 is zero. There are infinitely many multiples of 2969. The smallest multiples of 2969 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2969 too, since 0 × 2969 = 0
• 2969: indeed, 2969 is a multiple of itself, since 2969 is evenly divisible by 2969 (we have 2969 / 2969 = 1, so the remainder of this division is indeed zero)
• 5 938: indeed, 5 938 = 2969 × 2
• 8 907: indeed, 8 907 = 2969 × 3
• 11 876: indeed, 11 876 = 2969 × 4
• 14 845: indeed, 14 845 = 2969 × 5
• etc.

## Nearest numbers from 2969

Find out whether some integer is a prime number