13709 has 2 divisors, whose sum is σ = 13710. Its totient is φ = 13708.

The previous prime is 13697. The next prime is 13711. The reversal of 13709 is 90731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13225 + 484 = 115^2 + 22^2 .

It is an emirp because it is prime and its reverse (90731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13709 - 2⁴ = 13693 is a prime.

Together with 13711, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 16.

It is a nialpdrome in base 11.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 13709.

It is not a weakly prime, because it can be changed into another prime (13729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6854 + 6855.

It is an arithmetic number, because the mean of its divisors is an integer number (6855).

2¹³⁷⁰⁹ is an apocalyptic number.

It is an amenable number.

13709 is a deficient number, since it is larger than the sum of its proper divisors (1).

13709 is an equidigital number, since it uses as much as digits as its factorization.

13709 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 189, while the sum is 20.

The square root of 13709 is about 117.0854388897. The cubic root of 13709 is about 23.9332636737.

Subtracting from 13709 its sum of digits (20), we obtain a square (13689 = 117²).

The spelling of 13709 in words is "thirteen thousand, seven hundred nine".