26965 has 4 divisors (see below), whose sum is σ = 32364. Its totient is φ = 21568.

The previous prime is 26959. The next prime is 26981. The reversal of 26965 is 56962.

26965 is nontrivially palindromic in base 12.

26965 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 19044 + 7921 = 138^2 + 89^2 .

It is a cyclic number.

It is not a de Polignac number, because 26965 - 2¹¹ = 24917 is a prime.

It is a super-2 number, since 2×26965² = 1454222450, which contains 22 as substring.

It is a Duffinian number.

26965 is strictly pandigital in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2692 + ... + 2701.

It is an arithmetic number, because the mean of its divisors is an integer number (8091).

2²⁶⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

26965 is a deficient number, since it is larger than the sum of its proper divisors (5399).

26965 is an equidigital number, since it uses as much as digits as its factorization.

26965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5398.

The product of its digits is 3240, while the sum is 28.

The square root of 26965 is about 164.2102311063. The cubic root of 26965 is about 29.9870314317.

It can be divided in two parts, 2696 and 5, that added together give a triangular number (2701 = T₇₃).

The spelling of 26965 in words is "twenty-six thousand, nine hundred sixty-five".