Is 1061 a prime number? What are the divisors of 1061?

## Is 1061 a prime number?

Yes, 1061 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 1061, the only two divisors are 1 and 1061. Therefore 1061 is a prime number.

As a consequence, 1061 is only a multiple of 1 and 1061.

Since 1061 is a prime number, 1061 is also a deficient number, that is to say 1061 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1061 without 1061 itself (that is 1, by definition!).

## Parity of 1061

1061 is an odd number, because it is not evenly divisible by 2.

## Is 1061 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 1061 is about 32.573.

Thus, the square root of 1061 is not an integer, and therefore 1061 is not a square number.

Anyway, 1061 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1061?

The square of a number (here 1061) is the result of the product of this number (1061) by itself (i.e., 1061 × 1061); the square of 1061 is sometimes called "raising 1061 to the power 2", or "1061 squared".

The square of 1061 is 1 125 721 because 1061 × 1061 = 10612 = 1 125 721.

As a consequence, 1061 is the square root of 1 125 721.

## Number of digits of 1061

1061 is a number with 4 digits.

## What are the multiples of 1061?

The multiples of 1061 are all integers evenly divisible by 1061, that is all numbers such that the remainder of the division by 1061 is zero. There are infinitely many multiples of 1061. The smallest multiples of 1061 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1061 too, since 0 × 1061 = 0
• 1061: indeed, 1061 is a multiple of itself, since 1061 is evenly divisible by 1061 (we have 1061 / 1061 = 1, so the remainder of this division is indeed zero)
• 2 122: indeed, 2 122 = 1061 × 2
• 3 183: indeed, 3 183 = 1061 × 3
• 4 244: indeed, 4 244 = 1061 × 4
• 5 305: indeed, 5 305 = 1061 × 5
• etc.

## Nearest numbers from 1061

Find out whether some integer is a prime number