85884 has 24 divisors (see below), whose sum is σ = 212688. Its totient is φ = 26880.

The previous prime is 85853. The next prime is 85889. The reversal of 85884 is 48858.

It is a super-2 number, since 2×85884² = 14752122912, which contains 22 as substring.

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 85884.

It is not an unprimeable number, because it can be changed into a prime (85889) 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 7 ways as a sum of consecutive naturals, for example, 7 + ... + 414.

It is an arithmetic number, because the mean of its divisors is an integer number (8862).

2⁸⁵⁸⁸⁴ 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 85884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106344).

85884 is an abundant number, since it is smaller than the sum of its proper divisors (126804).

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

85884 is a wasteful number, since it uses less digits than its factorization.

85884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 443 counting only the distinct ones).

The product of its digits is 10240, while the sum is 33.

The square root of 85884 is about 293.0597208761. The cubic root of 85884 is about 44.1201947810.

It can be divided in two parts, 85 and 884, that added together give a palindrome (969).

The spelling of 85884 in words is "eighty-five thousand, eight hundred eighty-four".