26505 has 24 divisors (see below), whose sum is σ = 49920. Its totient is φ = 12960.

The previous prime is 26501. The next prime is 26513. The reversal of 26505 is 50562.

26505 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 26505 - 2² = 26501 is a prime.

26505 is a lucky number.

It is a plaindrome in base 16.

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 840 + ... + 870.

It is an arithmetic number, because the mean of its divisors is an integer number (2080).

2²⁶⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

26505 is a deficient number, since it is larger than the sum of its proper divisors (23415).

26505 is a wasteful number, since it uses less digits than its factorization.

26505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 26505 is about 162.8035626146. The cubic root of 26505 is about 29.8155347437.

The spelling of 26505 in words is "twenty-six thousand, five hundred five".