86004 has 18 divisors (see below), whose sum is σ = 217490. Its totient is φ = 28656.

The previous prime is 85999. The next prime is 86011. The reversal of 86004 is 40068.

It can be written as a sum of positive squares in only one way, i.e., 63504 + 22500 = 252^2 + 150^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 86004.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1159 + ... + 1230.

2⁸⁶⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

86004 is an abundant number, since it is smaller than the sum of its proper divisors (131486).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86004 is a wasteful number, since it uses less digits than its factorization.

86004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2394 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 86004 is about 293.2643858364. The cubic root of 86004 is about 44.1407339557.

The spelling of 86004 in words is "eighty-six thousand, four".