Is 3467 a prime number? What are the divisors of 3467?

## Is 3467 a prime number?

Yes, 3467 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 3467, the only two divisors are 1 and 3467. Therefore 3467 is a prime number.

As a consequence, 3467 is only a multiple of 1 and 3467.

Since 3467 is a prime number, 3467 is also a deficient number, that is to say 3467 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3467 without 3467 itself (that is 1, by definition!).

## Parity of 3467

3467 is an odd number, because it is not evenly divisible by 2.

## Is 3467 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 3467 is about 58.881.

Thus, the square root of 3467 is not an integer, and therefore 3467 is not a square number.

Anyway, 3467 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3467?

The square of a number (here 3467) is the result of the product of this number (3467) by itself (i.e., 3467 × 3467); the square of 3467 is sometimes called "raising 3467 to the power 2", or "3467 squared".

The square of 3467 is 12 020 089 because 3467 × 3467 = 34672 = 12 020 089.

As a consequence, 3467 is the square root of 12 020 089.

## Number of digits of 3467

3467 is a number with 4 digits.

## What are the multiples of 3467?

The multiples of 3467 are all integers evenly divisible by 3467, that is all numbers such that the remainder of the division by 3467 is zero. There are infinitely many multiples of 3467. The smallest multiples of 3467 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3467 too, since 0 × 3467 = 0
• 3467: indeed, 3467 is a multiple of itself, since 3467 is evenly divisible by 3467 (we have 3467 / 3467 = 1, so the remainder of this division is indeed zero)
• 6 934: indeed, 6 934 = 3467 × 2
• 10 401: indeed, 10 401 = 3467 × 3
• 13 868: indeed, 13 868 = 3467 × 4
• 17 335: indeed, 17 335 = 3467 × 5
• etc.

## Nearest numbers from 3467

Find out whether some integer is a prime number