26881 has 2 divisors, whose sum is σ = 26882. Its totient is φ = 26880.

The previous prime is 26879. The next prime is 26891. The reversal of 26881 is 18862.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25281 + 1600 = 159^2 + 40^2 .

It is a cyclic number.

It is not a de Polignac number, because 26881 - 2¹ = 26879 is a prime.

It is a super-2 number, since 2×26881² = 1445176322, which contains 22 as substring.

Together with 26879, it forms a pair of twin primes.

It is a magnanimous number.

26881 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (26801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13440 + 13441.

It is an arithmetic number, because the mean of its divisors is an integer number (13441).

It is a Proth number, since it is equal to 105 ⋅ 2⁸ + 1 and 105 < 2⁸.

2²⁶⁸⁸¹ is an apocalyptic number.

It is an amenable number.

26881 is a deficient number, since it is larger than the sum of its proper divisors (1).

26881 is an equidigital number, since it uses as much as digits as its factorization.

26881 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 768, while the sum is 25.

The square root of 26881 is about 163.9542619147. The cubic root of 26881 is about 29.9558610161.

The spelling of 26881 in words is "twenty-six thousand, eight hundred eighty-one".