26845 has 16 divisors (see below), whose sum is σ = 40320. Its totient is φ = 16704.

The previous prime is 26839. The next prime is 26849. The reversal of 26845 is 54862.

It is a cyclic number.

It is not a de Polignac number, because 26845 - 2⁵ = 26813 is a prime.

It is a d-powerful number, because it can be written as 2¹¹ + 6⁵ + 8³ + 4⁷ + 5³ .

26845 is a lucky number.

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 (26849) 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, 426 + ... + 484.

It is an arithmetic number, because the mean of its divisors is an integer number (2520).

2²⁶⁸⁴⁵ is an apocalyptic number.

It is an amenable number.

26845 is a deficient number, since it is larger than the sum of its proper divisors (13475).

26845 is a wasteful number, since it uses less digits than its factorization.

26845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84.

The product of its digits is 1920, while the sum is 25.

The square root of 26845 is about 163.8444384164. The cubic root of 26845 is about 29.9424823872.

It can be divided in two parts, 268 and 45, that added together give a palindrome (313).

The spelling of 26845 in words is "twenty-six thousand, eight hundred forty-five".