26865 has 16 divisors (see below), whose sum is σ = 48000. Its totient is φ = 14256.

The previous prime is 26863. The next prime is 26879. The reversal of 26865 is 56862.

26865 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 26865 - 2¹ = 26863 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (26861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36 + ... + 234.

It is an arithmetic number, because the mean of its divisors is an integer number (3000).

2²⁶⁸⁶⁵ is an apocalyptic number.

It is an amenable number.

26865 is a deficient number, since it is larger than the sum of its proper divisors (21135).

26865 is a wasteful number, since it uses less digits than its factorization.

26865 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 207 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 26865 is about 163.9054605558. The cubic root of 26865 is about 29.9499164344.

It can be divided in two parts, 268 and 65, that added together give a palindrome (333).

The spelling of 26865 in words is "twenty-six thousand, eight hundred sixty-five".