Is 1531 a prime number? What are the divisors of 1531?

## Is 1531 a prime number?

Yes, 1531 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 1531, the only two divisors are 1 and 1531. Therefore 1531 is a prime number.

As a consequence, 1531 is only a multiple of 1 and 1531.

Since 1531 is a prime number, 1531 is also a deficient number, that is to say 1531 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1531 without 1531 itself (that is 1, by definition!).

## Parity of 1531

1531 is an odd number, because it is not evenly divisible by 2.

## Is 1531 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 1531 is about 39.128.

Thus, the square root of 1531 is not an integer, and therefore 1531 is not a square number.

Anyway, 1531 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1531?

The square of a number (here 1531) is the result of the product of this number (1531) by itself (i.e., 1531 × 1531); the square of 1531 is sometimes called "raising 1531 to the power 2", or "1531 squared".

The square of 1531 is 2 343 961 because 1531 × 1531 = 15312 = 2 343 961.

As a consequence, 1531 is the square root of 2 343 961.

## Number of digits of 1531

1531 is a number with 4 digits.

## What are the multiples of 1531?

The multiples of 1531 are all integers evenly divisible by 1531, that is all numbers such that the remainder of the division by 1531 is zero. There are infinitely many multiples of 1531. The smallest multiples of 1531 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1531 too, since 0 × 1531 = 0
• 1531: indeed, 1531 is a multiple of itself, since 1531 is evenly divisible by 1531 (we have 1531 / 1531 = 1, so the remainder of this division is indeed zero)
• 3 062: indeed, 3 062 = 1531 × 2
• 4 593: indeed, 4 593 = 1531 × 3
• 6 124: indeed, 6 124 = 1531 × 4
• 7 655: indeed, 7 655 = 1531 × 5
• etc.

## Nearest numbers from 1531

Find out whether some integer is a prime number