Is 1709 a prime number? What are the divisors of 1709?

## Is 1709 a prime number?

Yes, 1709 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 1709, the only two divisors are 1 and 1709. Therefore 1709 is a prime number.

As a consequence, 1709 is only a multiple of 1 and 1709.

Since 1709 is a prime number, 1709 is also a deficient number, that is to say 1709 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1709 without 1709 itself (that is 1, by definition!).

## Parity of 1709

1709 is an odd number, because it is not evenly divisible by 2.

## Is 1709 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 1709 is about 41.340.

Thus, the square root of 1709 is not an integer, and therefore 1709 is not a square number.

Anyway, 1709 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1709?

The square of a number (here 1709) is the result of the product of this number (1709) by itself (i.e., 1709 × 1709); the square of 1709 is sometimes called "raising 1709 to the power 2", or "1709 squared".

The square of 1709 is 2 920 681 because 1709 × 1709 = 17092 = 2 920 681.

As a consequence, 1709 is the square root of 2 920 681.

## Number of digits of 1709

1709 is a number with 4 digits.

## What are the multiples of 1709?

The multiples of 1709 are all integers evenly divisible by 1709, that is all numbers such that the remainder of the division by 1709 is zero. There are infinitely many multiples of 1709. The smallest multiples of 1709 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1709 too, since 0 × 1709 = 0
• 1709: indeed, 1709 is a multiple of itself, since 1709 is evenly divisible by 1709 (we have 1709 / 1709 = 1, so the remainder of this division is indeed zero)
• 3 418: indeed, 3 418 = 1709 × 2
• 5 127: indeed, 5 127 = 1709 × 3
• 6 836: indeed, 6 836 = 1709 × 4
• 8 545: indeed, 8 545 = 1709 × 5
• etc.

## Nearest numbers from 1709

Find out whether some integer is a prime number