Is 3739 a prime number? What are the divisors of 3739?

## Is 3739 a prime number?

Yes, 3739 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 3739, the only two divisors are 1 and 3739. Therefore 3739 is a prime number.

As a consequence, 3739 is only a multiple of 1 and 3739.

Since 3739 is a prime number, 3739 is also a deficient number, that is to say 3739 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3739 without 3739 itself (that is 1, by definition!).

## Parity of 3739

3739 is an odd number, because it is not evenly divisible by 2.

## Is 3739 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 3739 is about 61.147.

Thus, the square root of 3739 is not an integer, and therefore 3739 is not a square number.

Anyway, 3739 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3739?

The square of a number (here 3739) is the result of the product of this number (3739) by itself (i.e., 3739 × 3739); the square of 3739 is sometimes called "raising 3739 to the power 2", or "3739 squared".

The square of 3739 is 13 980 121 because 3739 × 3739 = 37392 = 13 980 121.

As a consequence, 3739 is the square root of 13 980 121.

## Number of digits of 3739

3739 is a number with 4 digits.

## What are the multiples of 3739?

The multiples of 3739 are all integers evenly divisible by 3739, that is all numbers such that the remainder of the division by 3739 is zero. There are infinitely many multiples of 3739. The smallest multiples of 3739 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3739 too, since 0 × 3739 = 0
• 3739: indeed, 3739 is a multiple of itself, since 3739 is evenly divisible by 3739 (we have 3739 / 3739 = 1, so the remainder of this division is indeed zero)
• 7 478: indeed, 7 478 = 3739 × 2
• 11 217: indeed, 11 217 = 3739 × 3
• 14 956: indeed, 14 956 = 3739 × 4
• 18 695: indeed, 18 695 = 3739 × 5
• etc.

## Nearest numbers from 3739

Find out whether some integer is a prime number