26289 has 12 divisors (see below), whose sum is σ = 39936. Its totient is φ = 16632.

The previous prime is 26267. The next prime is 26293. The reversal of 26289 is 98262.

It is not a de Polignac number, because 26289 - 2⁷ = 26161 is a prime.

It is a super-2 number, since 2×26289² = 1382223042, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (26209) 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, 144 + ... + 270.

It is an arithmetic number, because the mean of its divisors is an integer number (3328).

2²⁶²⁸⁹ is an apocalyptic number.

It is an amenable number.

26289 is a deficient number, since it is larger than the sum of its proper divisors (13647).

26289 is a wasteful number, since it uses less digits than its factorization.

26289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 153 counting only the distinct ones).

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

The square root of 26289 is about 162.1388294025. The cubic root of 26289 is about 29.7343207637.

Subtracting from 26289 its sum of digits (27), we obtain a palindrome (26262).

It can be divided in two parts, 262 and 89, that added together give a triangular number (351 = T₂₆).

The spelling of 26289 in words is "twenty-six thousand, two hundred eighty-nine".