Is 3767 a prime number? What are the divisors of 3767?

## Is 3767 a prime number?

Yes, 3767 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 3767, the only two divisors are 1 and 3767. Therefore 3767 is a prime number.

As a consequence, 3767 is only a multiple of 1 and 3767.

Since 3767 is a prime number, 3767 is also a deficient number, that is to say 3767 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3767 without 3767 itself (that is 1, by definition!).

## Parity of 3767

3767 is an odd number, because it is not evenly divisible by 2.

## Is 3767 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 3767 is about 61.376.

Thus, the square root of 3767 is not an integer, and therefore 3767 is not a square number.

Anyway, 3767 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3767?

The square of a number (here 3767) is the result of the product of this number (3767) by itself (i.e., 3767 × 3767); the square of 3767 is sometimes called "raising 3767 to the power 2", or "3767 squared".

The square of 3767 is 14 190 289 because 3767 × 3767 = 37672 = 14 190 289.

As a consequence, 3767 is the square root of 14 190 289.

## Number of digits of 3767

3767 is a number with 4 digits.

## What are the multiples of 3767?

The multiples of 3767 are all integers evenly divisible by 3767, that is all numbers such that the remainder of the division by 3767 is zero. There are infinitely many multiples of 3767. The smallest multiples of 3767 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3767 too, since 0 × 3767 = 0
• 3767: indeed, 3767 is a multiple of itself, since 3767 is evenly divisible by 3767 (we have 3767 / 3767 = 1, so the remainder of this division is indeed zero)
• 7 534: indeed, 7 534 = 3767 × 2
• 11 301: indeed, 11 301 = 3767 × 3
• 15 068: indeed, 15 068 = 3767 × 4
• 18 835: indeed, 18 835 = 3767 × 5
• etc.

## Nearest numbers from 3767

Find out whether some integer is a prime number