26765 has 8 divisors (see below), whose sum is σ = 33048. Its totient is φ = 20800.

The previous prime is 26759. The next prime is 26777. The reversal of 26765 is 56762.

It can be written as a sum of positive squares in 4 ways, for example, as 11881 + 14884 = 109^2 + 122^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 26765 - 2⁶ = 26701 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 215 + ... + 315.

It is an arithmetic number, because the mean of its divisors is an integer number (4131).

2²⁶⁷⁶⁵ is an apocalyptic number.

It is an amenable number.

26765 is a deficient number, since it is larger than the sum of its proper divisors (6283).

26765 is a wasteful number, since it uses less digits than its factorization.

26765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159.

The product of its digits is 2520, while the sum is 26.

The square root of 26765 is about 163.6001222493. The cubic root of 26765 is about 29.9127092200.

It can be divided in two parts, 2 and 6765, that multiplied together give a triangular number (13530 = T₁₆₄).

The spelling of 26765 in words is "twenty-six thousand, seven hundred sixty-five".