Is 3529 a prime number? What are the divisors of 3529?

## Is 3529 a prime number?

Yes, 3529 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 3529, the only two divisors are 1 and 3529. Therefore 3529 is a prime number.

As a consequence, 3529 is only a multiple of 1 and 3529.

Since 3529 is a prime number, 3529 is also a deficient number, that is to say 3529 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3529 without 3529 itself (that is 1, by definition!).

## Parity of 3529

3529 is an odd number, because it is not evenly divisible by 2.

## Is 3529 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 3529 is about 59.405.

Thus, the square root of 3529 is not an integer, and therefore 3529 is not a square number.

Anyway, 3529 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3529?

The square of a number (here 3529) is the result of the product of this number (3529) by itself (i.e., 3529 × 3529); the square of 3529 is sometimes called "raising 3529 to the power 2", or "3529 squared".

The square of 3529 is 12 453 841 because 3529 × 3529 = 35292 = 12 453 841.

As a consequence, 3529 is the square root of 12 453 841.

## Number of digits of 3529

3529 is a number with 4 digits.

## What are the multiples of 3529?

The multiples of 3529 are all integers evenly divisible by 3529, that is all numbers such that the remainder of the division by 3529 is zero. There are infinitely many multiples of 3529. The smallest multiples of 3529 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3529 too, since 0 × 3529 = 0
• 3529: indeed, 3529 is a multiple of itself, since 3529 is evenly divisible by 3529 (we have 3529 / 3529 = 1, so the remainder of this division is indeed zero)
• 7 058: indeed, 7 058 = 3529 × 2
• 10 587: indeed, 10 587 = 3529 × 3
• 14 116: indeed, 14 116 = 3529 × 4
• 17 645: indeed, 17 645 = 3529 × 5
• etc.

## Nearest numbers from 3529

Find out whether some integer is a prime number