Is 1487 a prime number? What are the divisors of 1487?

## Is 1487 a prime number?

Yes, 1487 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 1487, the only two divisors are 1 and 1487. Therefore 1487 is a prime number.

As a consequence, 1487 is only a multiple of 1 and 1487.

Since 1487 is a prime number, 1487 is also a deficient number, that is to say 1487 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1487 without 1487 itself (that is 1, by definition!).

## Parity of 1487

1487 is an odd number, because it is not evenly divisible by 2.

## Is 1487 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 1487 is about 38.562.

Thus, the square root of 1487 is not an integer, and therefore 1487 is not a square number.

Anyway, 1487 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1487?

The square of a number (here 1487) is the result of the product of this number (1487) by itself (i.e., 1487 × 1487); the square of 1487 is sometimes called "raising 1487 to the power 2", or "1487 squared".

The square of 1487 is 2 211 169 because 1487 × 1487 = 14872 = 2 211 169.

As a consequence, 1487 is the square root of 2 211 169.

## Number of digits of 1487

1487 is a number with 4 digits.

## What are the multiples of 1487?

The multiples of 1487 are all integers evenly divisible by 1487, that is all numbers such that the remainder of the division by 1487 is zero. There are infinitely many multiples of 1487. The smallest multiples of 1487 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1487 too, since 0 × 1487 = 0
• 1487: indeed, 1487 is a multiple of itself, since 1487 is evenly divisible by 1487 (we have 1487 / 1487 = 1, so the remainder of this division is indeed zero)
• 2 974: indeed, 2 974 = 1487 × 2
• 4 461: indeed, 4 461 = 1487 × 3
• 5 948: indeed, 5 948 = 1487 × 4
• 7 435: indeed, 7 435 = 1487 × 5
• etc.

## Nearest numbers from 1487

Find out whether some integer is a prime number