6829 has 2 divisors, whose sum is σ = 6830. Its totient is φ = 6828.

The previous prime is 6827. The next prime is 6833. The reversal of 6829 is 9286.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5929 + 900 = 77^2 + 30^2 .

It is a cyclic number.

It is not a de Polignac number, because 6829 - 2¹ = 6827 is a prime.

Together with 6827, it forms a pair of twin primes.

It is a plaindrome in base 14 and base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3414 + 3415.

It is an arithmetic number, because the mean of its divisors is an integer number (3415).

2⁶⁸²⁹ is an apocalyptic number.

It is an amenable number.

6829 is a deficient number, since it is larger than the sum of its proper divisors (1).

6829 is an equidigital number, since it uses as much as digits as its factorization.

6829 is an evil number, because the sum of its binary digits is even.

The product of its digits is 864, while the sum is 25.

The square root of 6829 is about 82.6377637645. The cubic root of 6829 is about 18.9722586844.

The spelling of 6829 in words is "six thousand, eight hundred twenty-nine".