Is 3491 a prime number? What are the divisors of 3491?

## Is 3491 a prime number?

Yes, 3491 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 3491, the only two divisors are 1 and 3491. Therefore 3491 is a prime number.

As a consequence, 3491 is only a multiple of 1 and 3491.

Since 3491 is a prime number, 3491 is also a deficient number, that is to say 3491 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3491 without 3491 itself (that is 1, by definition!).

## Parity of 3491

3491 is an odd number, because it is not evenly divisible by 2.

## Is 3491 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 3491 is about 59.085.

Thus, the square root of 3491 is not an integer, and therefore 3491 is not a square number.

Anyway, 3491 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3491?

The square of a number (here 3491) is the result of the product of this number (3491) by itself (i.e., 3491 × 3491); the square of 3491 is sometimes called "raising 3491 to the power 2", or "3491 squared".

The square of 3491 is 12 187 081 because 3491 × 3491 = 34912 = 12 187 081.

As a consequence, 3491 is the square root of 12 187 081.

## Number of digits of 3491

3491 is a number with 4 digits.

## What are the multiples of 3491?

The multiples of 3491 are all integers evenly divisible by 3491, that is all numbers such that the remainder of the division by 3491 is zero. There are infinitely many multiples of 3491. The smallest multiples of 3491 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3491 too, since 0 × 3491 = 0
• 3491: indeed, 3491 is a multiple of itself, since 3491 is evenly divisible by 3491 (we have 3491 / 3491 = 1, so the remainder of this division is indeed zero)
• 6 982: indeed, 6 982 = 3491 × 2
• 10 473: indeed, 10 473 = 3491 × 3
• 13 964: indeed, 13 964 = 3491 × 4
• 17 455: indeed, 17 455 = 3491 × 5
• etc.

## Nearest numbers from 3491

Find out whether some integer is a prime number