26729 has 2 divisors, whose sum is σ = 26730. Its totient is φ = 26728.

The previous prime is 26723. The next prime is 26731. The reversal of 26729 is 92762.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24025 + 2704 = 155^2 + 52^2 .

It is a cyclic number.

It is not a de Polignac number, because 26729 - 2⁴ = 26713 is a prime.

Together with 26731, it forms a pair of twin primes.

It is a Chen prime.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 26698 and 26707.

It is not a weakly prime, because it can be changed into another prime (26723) 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, 13364 + 13365.

It is an arithmetic number, because the mean of its divisors is an integer number (13365).

2²⁶⁷²⁹ is an apocalyptic number.

It is an amenable number.

26729 is a deficient number, since it is larger than the sum of its proper divisors (1).

26729 is an equidigital number, since it uses as much as digits as its factorization.

26729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1512, while the sum is 26.

The square root of 26729 is about 163.4900608600. The cubic root of 26729 is about 29.8992919375.

The spelling of 26729 in words is "twenty-six thousand, seven hundred twenty-nine".