81184 has 24 divisors (see below), whose sum is σ = 166320. Its totient is φ = 38976.

The previous prime is 81181. The next prime is 81197. The reversal of 81184 is 48118.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (81181) 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 3 ways as a sum of consecutive naturals, for example, 1347 + ... + 1405.

It is an arithmetic number, because the mean of its divisors is an integer number (6930).

2⁸¹¹⁸⁴ 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 81184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83160).

81184 is an abundant number, since it is smaller than the sum of its proper divisors (85136).

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

81184 is a wasteful number, since it uses less digits than its factorization.

81184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 104 counting only the distinct ones).

The product of its digits is 256, while the sum is 22.

The square root of 81184 is about 284.9280610961. The cubic root of 81184 is about 43.3002245453.

The spelling of 81184 in words is "eighty-one thousand, one hundred eighty-four".