82381184 has 64 divisors (see below), whose sum is σ = 175705200. Its totient is φ = 38471680.

The previous prime is 82381183. The next prime is 82381213. The reversal of 82381184 is 48118328.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82381183) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 628799 + ... + 628929.

Almost surely, 2^82381184 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 82381184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87852600).

82381184 is an abundant number, since it is smaller than the sum of its proper divisors (93324016).

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

82381184 is an equidigital number, since it uses as much as digits as its factorization.

82381184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 150 counting only the distinct ones).

The product of its digits is 12288, while the sum is 35.

The square root of 82381184 is about 9076.4081001242. The cubic root of 82381184 is about 435.1202979043.

The spelling of 82381184 in words is "eighty-two million, three hundred eighty-one thousand, one hundred eighty-four".