Is 3373 a prime number? What are the divisors of 3373?

## Is 3373 a prime number?

Yes, 3373 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 3373, the only two divisors are 1 and 3373. Therefore 3373 is a prime number.

As a consequence, 3373 is only a multiple of 1 and 3373.

Since 3373 is a prime number, 3373 is also a deficient number, that is to say 3373 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3373 without 3373 itself (that is 1, by definition!).

## Parity of 3373

3373 is an odd number, because it is not evenly divisible by 2.

## Is 3373 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 3373 is about 58.078.

Thus, the square root of 3373 is not an integer, and therefore 3373 is not a square number.

Anyway, 3373 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3373?

The square of a number (here 3373) is the result of the product of this number (3373) by itself (i.e., 3373 × 3373); the square of 3373 is sometimes called "raising 3373 to the power 2", or "3373 squared".

The square of 3373 is 11 377 129 because 3373 × 3373 = 33732 = 11 377 129.

As a consequence, 3373 is the square root of 11 377 129.

## Number of digits of 3373

3373 is a number with 4 digits.

## What are the multiples of 3373?

The multiples of 3373 are all integers evenly divisible by 3373, that is all numbers such that the remainder of the division by 3373 is zero. There are infinitely many multiples of 3373. The smallest multiples of 3373 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3373 too, since 0 × 3373 = 0
• 3373: indeed, 3373 is a multiple of itself, since 3373 is evenly divisible by 3373 (we have 3373 / 3373 = 1, so the remainder of this division is indeed zero)
• 6 746: indeed, 6 746 = 3373 × 2
• 10 119: indeed, 10 119 = 3373 × 3
• 13 492: indeed, 13 492 = 3373 × 4
• 16 865: indeed, 16 865 = 3373 × 5
• etc.

## Nearest numbers from 3373

Find out whether some integer is a prime number