85824 has 42 divisors (see below), whose sum is σ = 247650. Its totient is φ = 28416.

The previous prime is 85819. The next prime is 85829. The reversal of 85824 is 42858.

It is an interprime number because it is at equal distance from previous prime (85819) and next prime (85829).

It can be written as a sum of positive squares in only one way, i.e., 57600 + 28224 = 240^2 + 168^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 502 + ... + 650.

2⁸⁵⁸²⁴ 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 85824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123825).

85824 is an abundant number, since it is smaller than the sum of its proper divisors (161826).

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

85824 is a wasteful number, since it uses less digits than its factorization.

85824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 154 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 85824 is about 292.9573347776. The cubic root of 85824 is about 44.1099180186.

It can be divided in two parts, 85 and 824, that added together give a palindrome (909).

The spelling of 85824 in words is "eighty-five thousand, eight hundred twenty-four".