86775 has 24 divisors (see below), whose sum is σ = 156240. Its totient is φ = 42240.

The previous prime is 86771. The next prime is 86783. The reversal of 86775 is 57768.

It is not a de Polignac number, because 86775 - 2² = 86771 is a prime.

86775 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 931 + ... + 1019.

It is an arithmetic number, because the mean of its divisors is an integer number (6510).

2⁸⁶⁷⁷⁵ is an apocalyptic number.

86775 is a deficient number, since it is larger than the sum of its proper divisors (69465).

86775 is a wasteful number, since it uses less digits than its factorization.

86775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 110 counting only the distinct ones).

The product of its digits is 11760, while the sum is 33.

The square root of 86775 is about 294.5759664331. The cubic root of 86775 is about 44.2722445532.

It can be divided in two parts, 867 and 75, that multiplied together give a square (65025 = 255²).

The spelling of 86775 in words is "eighty-six thousand, seven hundred seventy-five".