85504 has 20 divisors (see below), whose sum is σ = 171864. Its totient is φ = 42496.

The previous prime is 85487. The next prime is 85513. The reversal of 85504 is 40558.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 429 + ... + 595.

2⁸⁵⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85932).

85504 is an abundant number, since it is smaller than the sum of its proper divisors (86360).

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

85504 is an equidigital number, since it uses as much as digits as its factorization.

85504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 85504 is about 292.4106701200. The cubic root of 85504 is about 44.0550275711.

The spelling of 85504 in words is "eighty-five thousand, five hundred four".