82114884 has 60 divisors (see below), whose sum is σ = 225979600. Its totient is φ = 25929072.

The previous prime is 82114867. The next prime is 82114909. The reversal of 82114884 is 48841128.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 514 + ... + 12825.

Almost surely, 2^82114884 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 82114884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112989800).

82114884 is an abundant number, since it is smaller than the sum of its proper divisors (143864716).

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

82114884 is a wasteful number, since it uses less digits than its factorization.

82114884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13374 (or 13363 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 82114884 is about 9061.7263255960. The cubic root of 82114884 is about 434.6509447164.

The spelling of 82114884 in words is "eighty-two million, one hundred fourteen thousand, eight hundred eighty-four".