82102384 has 160 divisors (see below), whose sum is σ = 215986176. Its totient is φ = 29306880.

The previous prime is 82102381. The next prime is 82102399. The reversal of 82102384 is 48320128.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82102381) 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 31 ways as a sum of consecutive naturals, for example, 767259 + ... + 767365.

Almost surely, 2^82102384 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 82102384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107993088).

82102384 is an abundant number, since it is smaller than the sum of its proper divisors (133883792).

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

82102384 is a wasteful number, since it uses less digits than its factorization.

82102384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 82102384 is about 9061.0365852920. The cubic root of 82102384 is about 434.6288885748.

The spelling of 82102384 in words is "eighty-two million, one hundred two thousand, three hundred eighty-four".