Is 6673 a prime number? What are the divisors of 6673?

## Is 6673 a prime number?

Yes, 6673 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 6673, the only two divisors are 1 and 6673. Therefore 6673 is a prime number.

As a consequence, 6673 is only a multiple of 1 and 6673.

Since 6673 is a prime number, 6673 is also a deficient number, that is to say 6673 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 6673 without 6673 itself (that is 1, by definition!).

## Parity of 6673

6673 is an odd number, because it is not evenly divisible by 2.

## Is 6673 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 6673 is about 81.688.

Thus, the square root of 6673 is not an integer, and therefore 6673 is not a square number.

Anyway, 6673 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 6673?

The square of a number (here 6673) is the result of the product of this number (6673) by itself (i.e., 6673 × 6673); the square of 6673 is sometimes called "raising 6673 to the power 2", or "6673 squared".

The square of 6673 is 44 528 929 because 6673 × 6673 = 66732 = 44 528 929.

As a consequence, 6673 is the square root of 44 528 929.

## Number of digits of 6673

6673 is a number with 4 digits.

## What are the multiples of 6673?

The multiples of 6673 are all integers evenly divisible by 6673, that is all numbers such that the remainder of the division by 6673 is zero. There are infinitely many multiples of 6673. The smallest multiples of 6673 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 6673 too, since 0 × 6673 = 0
• 6673: indeed, 6673 is a multiple of itself, since 6673 is evenly divisible by 6673 (we have 6673 / 6673 = 1, so the remainder of this division is indeed zero)
• 13 346: indeed, 13 346 = 6673 × 2
• 20 019: indeed, 20 019 = 6673 × 3
• 26 692: indeed, 26 692 = 6673 × 4
• 33 365: indeed, 33 365 = 6673 × 5
• etc.

## Nearest numbers from 6673

Find out whether some integer is a prime number