Is 3167 a prime number? What are the divisors of 3167?

## Is 3167 a prime number?

Yes, 3167 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 3167, the only two divisors are 1 and 3167. Therefore 3167 is a prime number.

As a consequence, 3167 is only a multiple of 1 and 3167.

Since 3167 is a prime number, 3167 is also a deficient number, that is to say 3167 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3167 without 3167 itself (that is 1, by definition!).

## Parity of 3167

3167 is an odd number, because it is not evenly divisible by 2.

## Is 3167 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 3167 is about 56.276.

Thus, the square root of 3167 is not an integer, and therefore 3167 is not a square number.

Anyway, 3167 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3167?

The square of a number (here 3167) is the result of the product of this number (3167) by itself (i.e., 3167 × 3167); the square of 3167 is sometimes called "raising 3167 to the power 2", or "3167 squared".

The square of 3167 is 10 029 889 because 3167 × 3167 = 31672 = 10 029 889.

As a consequence, 3167 is the square root of 10 029 889.

## Number of digits of 3167

3167 is a number with 4 digits.

## What are the multiples of 3167?

The multiples of 3167 are all integers evenly divisible by 3167, that is all numbers such that the remainder of the division by 3167 is zero. There are infinitely many multiples of 3167. The smallest multiples of 3167 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3167 too, since 0 × 3167 = 0
• 3167: indeed, 3167 is a multiple of itself, since 3167 is evenly divisible by 3167 (we have 3167 / 3167 = 1, so the remainder of this division is indeed zero)
• 6 334: indeed, 6 334 = 3167 × 2
• 9 501: indeed, 9 501 = 3167 × 3
• 12 668: indeed, 12 668 = 3167 × 4
• 15 835: indeed, 15 835 = 3167 × 5
• etc.

## Nearest numbers from 3167

Find out whether some integer is a prime number