Is 9521 a prime number? What are the divisors of 9521?

## Is 9521 a prime number?

Yes, 9521 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 9521, the only two divisors are 1 and 9521. Therefore 9521 is a prime number.

As a consequence, 9521 is only a multiple of 1 and 9521.

Since 9521 is a prime number, 9521 is also a deficient number, that is to say 9521 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9521 without 9521 itself (that is 1, by definition!).

## Parity of 9521

9521 is an odd number, because it is not evenly divisible by 2.

## Is 9521 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 9521 is about 97.576.

Thus, the square root of 9521 is not an integer, and therefore 9521 is not a square number.

Anyway, 9521 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 9521?

The square of a number (here 9521) is the result of the product of this number (9521) by itself (i.e., 9521 × 9521); the square of 9521 is sometimes called "raising 9521 to the power 2", or "9521 squared".

The square of 9521 is 90 649 441 because 9521 × 9521 = 95212 = 90 649 441.

As a consequence, 9521 is the square root of 90 649 441.

## Number of digits of 9521

9521 is a number with 4 digits.

## What are the multiples of 9521?

The multiples of 9521 are all integers evenly divisible by 9521, that is all numbers such that the remainder of the division by 9521 is zero. There are infinitely many multiples of 9521. The smallest multiples of 9521 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9521 too, since 0 × 9521 = 0
• 9521: indeed, 9521 is a multiple of itself, since 9521 is evenly divisible by 9521 (we have 9521 / 9521 = 1, so the remainder of this division is indeed zero)
• 19 042: indeed, 19 042 = 9521 × 2
• 28 563: indeed, 28 563 = 9521 × 3
• 38 084: indeed, 38 084 = 9521 × 4
• 47 605: indeed, 47 605 = 9521 × 5
• etc.

## Nearest numbers from 9521

Find out whether some integer is a prime number