85973184 has 112 divisors (see below), whose sum is σ = 275783040. Its totient is φ = 26046720.

The previous prime is 85973179. The next prime is 85973189. The reversal of 85973184 is 48137958.

It is an interprime number because it is at equal distance from previous prime (85973179) and next prime (85973189).

It is not an unprimeable number, because it can be changed into a prime (85973189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16747 + ... + 21269.

Almost surely, 2^85973184 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 85973184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137891520).

85973184 is an abundant number, since it is smaller than the sum of its proper divisors (189809856).

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

85973184 is a wasteful number, since it uses less digits than its factorization.

85973184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4555 (or 4539 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 85973184 is about 9272.1725609482. The cubic root of 85973184 is about 441.3546131970.

It can be divided in two parts, 8597 and 3184, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 85973184 in words is "eighty-five million, nine hundred seventy-three thousand, one hundred eighty-four".