Is 16001 a prime number? What are the divisors of 16001?

## Is 16001 a prime number?

Yes, 16001 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 16001, the only two divisors are 1 and 16001. Therefore 16001 is a prime number.

As a consequence, 16001 is only a multiple of 1 and 16001.

Since 16001 is a prime number, 16001 is also a deficient number, that is to say 16001 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 16001 without 16001 itself (that is 1, by definition!).

## Parity of 16001

16001 is an odd number, because it is not evenly divisible by 2.

## Is 16001 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 16001 is about 126.495.

Thus, the square root of 16001 is not an integer, and therefore 16001 is not a square number.

Anyway, 16001 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 16001?

The square of a number (here 16001) is the result of the product of this number (16001) by itself (i.e., 16001 × 16001); the square of 16001 is sometimes called "raising 16001 to the power 2", or "16001 squared".

The square of 16001 is 256 032 001 because 16001 × 16001 = 160012 = 256 032 001.

As a consequence, 16001 is the square root of 256 032 001.

## Number of digits of 16001

16001 is a number with 5 digits.

## What are the multiples of 16001?

The multiples of 16001 are all integers evenly divisible by 16001, that is all numbers such that the remainder of the division by 16001 is zero. There are infinitely many multiples of 16001. The smallest multiples of 16001 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 16001 too, since 0 × 16001 = 0
• 16001: indeed, 16001 is a multiple of itself, since 16001 is evenly divisible by 16001 (we have 16001 / 16001 = 1, so the remainder of this division is indeed zero)
• 32 002: indeed, 32 002 = 16001 × 2
• 48 003: indeed, 48 003 = 16001 × 3
• 64 004: indeed, 64 004 = 16001 × 4
• 80 005: indeed, 80 005 = 16001 × 5
• etc.

## Nearest numbers from 16001

Find out whether some integer is a prime number