Is 3907 a prime number? What are the divisors of 3907?

## Is 3907 a prime number?

Yes, 3907 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 3907, the only two divisors are 1 and 3907. Therefore 3907 is a prime number.

As a consequence, 3907 is only a multiple of 1 and 3907.

Since 3907 is a prime number, 3907 is also a deficient number, that is to say 3907 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3907 without 3907 itself (that is 1, by definition!).

## Parity of 3907

3907 is an odd number, because it is not evenly divisible by 2.

## Is 3907 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 3907 is about 62.506.

Thus, the square root of 3907 is not an integer, and therefore 3907 is not a square number.

Anyway, 3907 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3907?

The square of a number (here 3907) is the result of the product of this number (3907) by itself (i.e., 3907 × 3907); the square of 3907 is sometimes called "raising 3907 to the power 2", or "3907 squared".

The square of 3907 is 15 264 649 because 3907 × 3907 = 39072 = 15 264 649.

As a consequence, 3907 is the square root of 15 264 649.

## Number of digits of 3907

3907 is a number with 4 digits.

## What are the multiples of 3907?

The multiples of 3907 are all integers evenly divisible by 3907, that is all numbers such that the remainder of the division by 3907 is zero. There are infinitely many multiples of 3907. The smallest multiples of 3907 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3907 too, since 0 × 3907 = 0
• 3907: indeed, 3907 is a multiple of itself, since 3907 is evenly divisible by 3907 (we have 3907 / 3907 = 1, so the remainder of this division is indeed zero)
• 7 814: indeed, 7 814 = 3907 × 2
• 11 721: indeed, 11 721 = 3907 × 3
• 15 628: indeed, 15 628 = 3907 × 4
• 19 535: indeed, 19 535 = 3907 × 5
• etc.

## Nearest numbers from 3907

Find out whether some integer is a prime number