82319184 has 60 divisors (see below), whose sum is σ = 235300416. Its totient is φ = 26853696.

The previous prime is 82319177. The next prime is 82319189. The reversal of 82319184 is 48191328.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82319189) 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 11 ways as a sum of consecutive naturals, for example, 687 + ... + 12849.

Almost surely, 2^82319184 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 82319184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117650208).

82319184 is an abundant number, since it is smaller than the sum of its proper divisors (152981232).

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

82319184 is a wasteful number, since it uses less digits than its factorization.

82319184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12224 (or 12215 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 82319184 is about 9072.9920092547. The cubic root of 82319184 is about 435.0111134695.

The spelling of 82319184 in words is "eighty-two million, three hundred nineteen thousand, one hundred eighty-four".