26985 has 16 divisors (see below), whose sum is σ = 49536. Its totient is φ = 12288.

The previous prime is 26981. The next prime is 26987. The reversal of 26985 is 58962.

26985 is nontrivially palindromic in base 4.

It is not a de Polignac number, because 26985 - 2² = 26981 is a prime.

26985 is an undulating number in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 26985.

It is not an unprimeable number, because it can be changed into a prime (26981) 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, 24 + ... + 233.

It is an arithmetic number, because the mean of its divisors is an integer number (3096).

2²⁶⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

26985 is a deficient number, since it is larger than the sum of its proper divisors (22551).

26985 is a wasteful number, since it uses less digits than its factorization.

26985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272.

The product of its digits is 4320, while the sum is 30.

The square root of 26985 is about 164.2711173639. The cubic root of 26985 is about 29.9944434153.

The spelling of 26985 in words is "twenty-six thousand, nine hundred eighty-five".