Is 43987 a prime number? What are the divisors of 43987?

## Is 43987 a prime number?

Yes, 43987 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 43987, the only two divisors are 1 and 43987. Therefore 43987 is a prime number.

As a consequence, 43987 is only a multiple of 1 and 43987.

Since 43987 is a prime number, 43987 is also a deficient number, that is to say 43987 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 43987 without 43987 itself (that is 1, by definition!).

## Parity of 43987

43987 is an odd number, because it is not evenly divisible by 2.

## Is 43987 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 43987 is about 209.731.

Thus, the square root of 43987 is not an integer, and therefore 43987 is not a square number.

Anyway, 43987 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 43987?

The square of a number (here 43987) is the result of the product of this number (43987) by itself (i.e., 43987 × 43987); the square of 43987 is sometimes called "raising 43987 to the power 2", or "43987 squared".

The square of 43987 is 1 934 856 169 because 43987 × 43987 = 439872 = 1 934 856 169.

As a consequence, 43987 is the square root of 1 934 856 169.

## Number of digits of 43987

43987 is a number with 5 digits.

## What are the multiples of 43987?

The multiples of 43987 are all integers evenly divisible by 43987, that is all numbers such that the remainder of the division by 43987 is zero. There are infinitely many multiples of 43987. The smallest multiples of 43987 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 43987 too, since 0 × 43987 = 0
• 43987: indeed, 43987 is a multiple of itself, since 43987 is evenly divisible by 43987 (we have 43987 / 43987 = 1, so the remainder of this division is indeed zero)
• 87 974: indeed, 87 974 = 43987 × 2
• 131 961: indeed, 131 961 = 43987 × 3
• 175 948: indeed, 175 948 = 43987 × 4
• 219 935: indeed, 219 935 = 43987 × 5
• etc.

## Nearest numbers from 43987

Find out whether some integer is a prime number