Is 3407 a prime number? What are the divisors of 3407?

## Is 3407 a prime number?

Yes, 3407 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 3407, the only two divisors are 1 and 3407. Therefore 3407 is a prime number.

As a consequence, 3407 is only a multiple of 1 and 3407.

Since 3407 is a prime number, 3407 is also a deficient number, that is to say 3407 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3407 without 3407 itself (that is 1, by definition!).

## Parity of 3407

3407 is an odd number, because it is not evenly divisible by 2.

## Is 3407 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 3407 is about 58.370.

Thus, the square root of 3407 is not an integer, and therefore 3407 is not a square number.

Anyway, 3407 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3407?

The square of a number (here 3407) is the result of the product of this number (3407) by itself (i.e., 3407 × 3407); the square of 3407 is sometimes called "raising 3407 to the power 2", or "3407 squared".

The square of 3407 is 11 607 649 because 3407 × 3407 = 34072 = 11 607 649.

As a consequence, 3407 is the square root of 11 607 649.

## Number of digits of 3407

3407 is a number with 4 digits.

## What are the multiples of 3407?

The multiples of 3407 are all integers evenly divisible by 3407, that is all numbers such that the remainder of the division by 3407 is zero. There are infinitely many multiples of 3407. The smallest multiples of 3407 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3407 too, since 0 × 3407 = 0
• 3407: indeed, 3407 is a multiple of itself, since 3407 is evenly divisible by 3407 (we have 3407 / 3407 = 1, so the remainder of this division is indeed zero)
• 6 814: indeed, 6 814 = 3407 × 2
• 10 221: indeed, 10 221 = 3407 × 3
• 13 628: indeed, 13 628 = 3407 × 4
• 17 035: indeed, 17 035 = 3407 × 5
• etc.

## Nearest numbers from 3407

Find out whether some integer is a prime number