26901 has 18 divisors (see below), whose sum is σ = 45942. Its totient is φ = 15120.

The previous prime is 26893. The next prime is 26903. The reversal of 26901 is 10962.

It can be written as a sum of positive squares in only one way, i.e., 15876 + 11025 = 126^2 + 105^2 .

It is not a de Polignac number, because 26901 - 2³ = 26893 is a prime.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26903) 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 17 ways as a sum of consecutive naturals, for example, 411 + ... + 471.

2²⁶⁹⁰¹ is an apocalyptic number.

26901 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

26901 is a deficient number, since it is larger than the sum of its proper divisors (19041).

26901 is a wasteful number, since it uses less digits than its factorization.

26901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 26901 is about 164.0152431940. The cubic root of 26901 is about 29.9632884270.

It can be divided in two parts, 2 and 6901, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 26901 in words is "twenty-six thousand, nine hundred one".