26849 has 2 divisors, whose sum is σ = 26850. Its totient is φ = 26848.

The previous prime is 26839. The next prime is 26861. The reversal of 26849 is 94862.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20449 + 6400 = 143^2 + 80^2 .

It is a cyclic number.

It is not a de Polignac number, because 26849 - 2⁴ = 26833 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (26839) 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, 13424 + 13425.

It is an arithmetic number, because the mean of its divisors is an integer number (13425).

2²⁶⁸⁴⁹ is an apocalyptic number.

It is an amenable number.

26849 is a deficient number, since it is larger than the sum of its proper divisors (1).

26849 is an equidigital number, since it uses as much as digits as its factorization.

26849 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3456, while the sum is 29.

The square root of 26849 is about 163.8566446623. The cubic root of 26849 is about 29.9439694920.

The spelling of 26849 in words is "twenty-six thousand, eight hundred forty-nine".