Is 1667 a prime number? What are the divisors of 1667?

## Is 1667 a prime number?

Yes, 1667 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 1667, the only two divisors are 1 and 1667. Therefore 1667 is a prime number.

As a consequence, 1667 is only a multiple of 1 and 1667.

Since 1667 is a prime number, 1667 is also a deficient number, that is to say 1667 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1667 without 1667 itself (that is 1, by definition!).

## Parity of 1667

1667 is an odd number, because it is not evenly divisible by 2.

## Is 1667 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 1667 is about 40.829.

Thus, the square root of 1667 is not an integer, and therefore 1667 is not a square number.

Anyway, 1667 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1667?

The square of a number (here 1667) is the result of the product of this number (1667) by itself (i.e., 1667 × 1667); the square of 1667 is sometimes called "raising 1667 to the power 2", or "1667 squared".

The square of 1667 is 2 778 889 because 1667 × 1667 = 16672 = 2 778 889.

As a consequence, 1667 is the square root of 2 778 889.

## Number of digits of 1667

1667 is a number with 4 digits.

## What are the multiples of 1667?

The multiples of 1667 are all integers evenly divisible by 1667, that is all numbers such that the remainder of the division by 1667 is zero. There are infinitely many multiples of 1667. The smallest multiples of 1667 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1667 too, since 0 × 1667 = 0
• 1667: indeed, 1667 is a multiple of itself, since 1667 is evenly divisible by 1667 (we have 1667 / 1667 = 1, so the remainder of this division is indeed zero)
• 3 334: indeed, 3 334 = 1667 × 2
• 5 001: indeed, 5 001 = 1667 × 3
• 6 668: indeed, 6 668 = 1667 × 4
• 8 335: indeed, 8 335 = 1667 × 5
• etc.

## Nearest numbers from 1667

Find out whether some integer is a prime number