Is 3967 a prime number? What are the divisors of 3967?

## Is 3967 a prime number?

Yes, 3967 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 3967, the only two divisors are 1 and 3967. Therefore 3967 is a prime number.

As a consequence, 3967 is only a multiple of 1 and 3967.

Since 3967 is a prime number, 3967 is also a deficient number, that is to say 3967 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3967 without 3967 itself (that is 1, by definition!).

## Parity of 3967

3967 is an odd number, because it is not evenly divisible by 2.

## Is 3967 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 3967 is about 62.984.

Thus, the square root of 3967 is not an integer, and therefore 3967 is not a square number.

Anyway, 3967 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3967?

The square of a number (here 3967) is the result of the product of this number (3967) by itself (i.e., 3967 × 3967); the square of 3967 is sometimes called "raising 3967 to the power 2", or "3967 squared".

The square of 3967 is 15 737 089 because 3967 × 3967 = 39672 = 15 737 089.

As a consequence, 3967 is the square root of 15 737 089.

## Number of digits of 3967

3967 is a number with 4 digits.

## What are the multiples of 3967?

The multiples of 3967 are all integers evenly divisible by 3967, that is all numbers such that the remainder of the division by 3967 is zero. There are infinitely many multiples of 3967. The smallest multiples of 3967 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3967 too, since 0 × 3967 = 0
• 3967: indeed, 3967 is a multiple of itself, since 3967 is evenly divisible by 3967 (we have 3967 / 3967 = 1, so the remainder of this division is indeed zero)
• 7 934: indeed, 7 934 = 3967 × 2
• 11 901: indeed, 11 901 = 3967 × 3
• 15 868: indeed, 15 868 = 3967 × 4
• 19 835: indeed, 19 835 = 3967 × 5
• etc.

## Nearest numbers from 3967

Find out whether some integer is a prime number