85404 has 24 divisors (see below), whose sum is σ = 217728. Its totient is φ = 25840.

The previous prime is 85381. The next prime is 85411. The reversal of 85404 is 40458.

85404 = T₃₉ + T₄₀ + ... + T₈₂.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192 + ... + 455.

It is an arithmetic number, because the mean of its divisors is an integer number (9072).

2⁸⁵⁴⁰⁴ is an apocalyptic number.

It is an amenable number.

85404 is an abundant number, since it is smaller than the sum of its proper divisors (132324).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864).

85404 is a wasteful number, since it uses less digits than its factorization.

85404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 85404 is about 292.2396277030. The cubic root of 85404 is about 44.0378462254.

The spelling of 85404 in words is "eighty-five thousand, four hundred four".