26825 has 12 divisors (see below), whose sum is σ = 35340. Its totient is φ = 20160.

The previous prime is 26821. The next prime is 26833. The reversal of 26825 is 52862.

It is a happy number.

26825 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 256 + 26569 = 16^2 + 163^2 .

It is not a de Polignac number, because 26825 - 2² = 26821 is a prime.

26825 is strictly pandigital in base 6.

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 26825.

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 707 + ... + 743.

It is an arithmetic number, because the mean of its divisors is an integer number (2945).

2²⁶⁸²⁵ is an apocalyptic number.

26825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

26825 is a deficient number, since it is larger than the sum of its proper divisors (8515).

26825 is a wasteful number, since it uses less digits than its factorization.

26825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 71 counting only the distinct ones).

The product of its digits is 960, while the sum is 23.

The square root of 26825 is about 163.7833935416. The cubic root of 26825 is about 29.9350446468.

The spelling of 26825 in words is "twenty-six thousand, eight hundred twenty-five".