26829 has 12 divisors (see below), whose sum is σ = 42432. Its totient is φ = 16200.

The previous prime is 26821. The next prime is 26833. The reversal of 26829 is 92862.

26829 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 26829 - 2³ = 26821 is a prime.

Its product of digits (1728) is a multiple of the sum of its prime factors (288).

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37 + ... + 234.

It is an arithmetic number, because the mean of its divisors is an integer number (3536).

2²⁶⁸²⁹ is an apocalyptic number.

It is an amenable number.

26829 is a deficient number, since it is larger than the sum of its proper divisors (15603).

26829 is a wasteful number, since it uses less digits than its factorization.

26829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 285 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 26829 is about 163.7956043366. The cubic root of 26829 is about 29.9365324905.

The spelling of 26829 in words is "twenty-six thousand, eight hundred twenty-nine".