26759 has 2 divisors, whose sum is σ = 26760. Its totient is φ = 26758.

The previous prime is 26737. The next prime is 26777. The reversal of 26759 is 95762.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-26759 is a prime.

It is a Chen prime.

It is a plaindrome in base 12 and base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (26729) 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, 13379 + 13380.

It is an arithmetic number, because the mean of its divisors is an integer number (13380).

2²⁶⁷⁵⁹ is an apocalyptic number.

26759 is a deficient number, since it is larger than the sum of its proper divisors (1).

26759 is an equidigital number, since it uses as much as digits as its factorization.

26759 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3780, while the sum is 29.

The square root of 26759 is about 163.5817838269. The cubic root of 26759 is about 29.9104738421.

It can be divided in two parts, 267 and 59, that multiplied together give a triangular number (15753 = T₁₇₇).

The spelling of 26759 in words is "twenty-six thousand, seven hundred fifty-nine".