26801 has 2 divisors, whose sum is σ = 26802. Its totient is φ = 26800.

The previous prime is 26783. The next prime is 26813. The reversal of 26801 is 10862.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21025 + 5776 = 145^2 + 76^2 .

It is a cyclic number.

It is not a de Polignac number, because 26801 - 2⁶ = 26737 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 26801.

It is not a weakly prime, because it can be changed into another prime (26821) 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 as a sum of consecutive naturals, namely, 13400 + 13401.

It is an arithmetic number, because the mean of its divisors is an integer number (13401).

2²⁶⁸⁰¹ is an apocalyptic number.

It is an amenable number.

26801 is a deficient number, since it is larger than the sum of its proper divisors (1).

26801 is an equidigital number, since it uses as much as digits as its factorization.

26801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 26801 is about 163.7101096451. The cubic root of 26801 is about 29.9261144767.

The spelling of 26801 in words is "twenty-six thousand, eight hundred one".