13829 has 2 divisors, whose sum is σ = 13830. Its totient is φ = 13828.

The previous prime is 13807. The next prime is 13831. The reversal of 13829 is 92831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9604 + 4225 = 98^2 + 65^2 .

It is an emirp because it is prime and its reverse (92831) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13829 - 2¹² = 9733 is a prime.

Together with 13831, it forms a pair of twin primes.

It is a Chen prime.

It is a nialpdrome in base 11.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13859) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6914 + 6915.

It is an arithmetic number, because the mean of its divisors is an integer number (6915).

2¹³⁸²⁹ is an apocalyptic number.

It is an amenable number.

13829 is a deficient number, since it is larger than the sum of its proper divisors (1).

13829 is an equidigital number, since it uses as much as digits as its factorization.

13829 is an evil number, because the sum of its binary digits is even.

The product of its digits is 432, while the sum is 23.

The square root of 13829 is about 117.5967686631. The cubic root of 13829 is about 24.0028931697.

The spelling of 13829 in words is "thirteen thousand, eight hundred twenty-nine".