82116384 has 96 divisors (see below), whose sum is σ = 249298560. Its totient is φ = 23181312.

The previous prime is 82116361. The next prime is 82116389. The reversal of 82116384 is 48361128.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×82116384³ (a number of 25 digits) contains 333 as substring.

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 (82116389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59122 + ... + 60494.

It is an arithmetic number, because the mean of its divisors is an integer number (2596860).

Almost surely, 2^82116384 is an apocalyptic number.

82116384 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82116384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124649280).

82116384 is an abundant number, since it is smaller than the sum of its proper divisors (167182176).

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

82116384 is a wasteful number, since it uses less digits than its factorization.

82116384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1474 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 82116384 is about 9061.8090909045. The cubic root of 82116384 is about 434.6535913029.

It can be divided in two parts, 821 and 16384, that added together give a triangular number (17205 = T₁₈₅).

The spelling of 82116384 in words is "eighty-two million, one hundred sixteen thousand, three hundred eighty-four".