82112832 has 224 divisors, whose sum is σ = 264566400. Its totient is φ = 24883200.

The previous prime is 82112803. The next prime is 82112869. The reversal of 82112832 is 23821128.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 82112796 and 82112805.

It is a congruent number.

It is an unprimeable number.

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, 1346082 + ... + 1346142.

It is an arithmetic number, because the mean of its divisors is an integer number (1181100).

Almost surely, 2^82112832 is an apocalyptic number.

82112832 is a gapful number since it is divisible by the number (82) 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 82112832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132283200).

82112832 is an abundant number, since it is smaller than the sum of its proper divisors (182453568).

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

82112832 is a wasteful number, since it uses less digits than its factorization.

82112832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 126 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 82112832 is about 9061.6131014296. The cubic root of 82112832 is about 434.6473241337.

It can be divided in two parts, 82112 and 832, that added together give a square (82944 = 288²).

The spelling of 82112832 in words is "eighty-two million, one hundred twelve thousand, eight hundred thirty-two".