86205 has 16 divisors (see below), whose sum is σ = 157824. Its totient is φ = 39360.

The previous prime is 86201. The next prime is 86209. The reversal of 86205 is 50268.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (86201) and next prime (86209).

It is not a de Polignac number, because 86205 - 2² = 86201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

86205 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86201) 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, 306 + ... + 515.

It is an arithmetic number, because the mean of its divisors is an integer number (9864).

2⁸⁶²⁰⁵ is an apocalyptic number.

It is an amenable number.

86205 is a deficient number, since it is larger than the sum of its proper divisors (71619).

86205 is a wasteful number, since it uses less digits than its factorization.

86205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 86205 is about 293.6068800284. The cubic root of 86205 is about 44.1750943136.

Subtracting from 86205 its reverse (50268), we obtain a cube (35937 = 33³).

The spelling of 86205 in words is "eighty-six thousand, two hundred five".