Is 3527 a prime number? What are the divisors of 3527?

## Is 3527 a prime number?

Yes, 3527 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 3527, the only two divisors are 1 and 3527. Therefore 3527 is a prime number.

As a consequence, 3527 is only a multiple of 1 and 3527.

Since 3527 is a prime number, 3527 is also a deficient number, that is to say 3527 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3527 without 3527 itself (that is 1, by definition!).

## Parity of 3527

3527 is an odd number, because it is not evenly divisible by 2.

## Is 3527 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 3527 is about 59.389.

Thus, the square root of 3527 is not an integer, and therefore 3527 is not a square number.

Anyway, 3527 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3527?

The square of a number (here 3527) is the result of the product of this number (3527) by itself (i.e., 3527 × 3527); the square of 3527 is sometimes called "raising 3527 to the power 2", or "3527 squared".

The square of 3527 is 12 439 729 because 3527 × 3527 = 35272 = 12 439 729.

As a consequence, 3527 is the square root of 12 439 729.

## Number of digits of 3527

3527 is a number with 4 digits.

## What are the multiples of 3527?

The multiples of 3527 are all integers evenly divisible by 3527, that is all numbers such that the remainder of the division by 3527 is zero. There are infinitely many multiples of 3527. The smallest multiples of 3527 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3527 too, since 0 × 3527 = 0
• 3527: indeed, 3527 is a multiple of itself, since 3527 is evenly divisible by 3527 (we have 3527 / 3527 = 1, so the remainder of this division is indeed zero)
• 7 054: indeed, 7 054 = 3527 × 2
• 10 581: indeed, 10 581 = 3527 × 3
• 14 108: indeed, 14 108 = 3527 × 4
• 17 635: indeed, 17 635 = 3527 × 5
• etc.

## Nearest numbers from 3527

Find out whether some integer is a prime number