86765 has 16 divisors (see below), whose sum is σ = 124032. Its totient is φ = 57024.

The previous prime is 86753. The next prime is 86767. The reversal of 86765 is 56768.

It is a cyclic number.

It is not a de Polignac number, because 86765 - 2⁸ = 86509 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1262 + ... + 1328.

It is an arithmetic number, because the mean of its divisors is an integer number (7752).

2⁸⁶⁷⁶⁵ is an apocalyptic number.

It is an amenable number.

86765 is a deficient number, since it is larger than the sum of its proper divisors (37267).

86765 is a wasteful number, since it uses less digits than its factorization.

86765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116.

The product of its digits is 10080, while the sum is 32.

The square root of 86765 is about 294.5589923937. The cubic root of 86765 is about 44.2705438351.

The spelling of 86765 in words is "eighty-six thousand, seven hundred sixty-five".