82824224 has 24 divisors (see below), whose sum is σ = 186355008. Its totient is φ = 35496000.

The previous prime is 82824197. The next prime is 82824233. The reversal of 82824224 is 42242828.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

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

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 3 ways as a sum of consecutive naturals, for example, 184652 + ... + 185099.

It is an arithmetic number, because the mean of its divisors is an integer number (7764792).

Almost surely, 2^82824224 is an apocalyptic number.

It is an amenable number.

82824224 is an abundant number, since it is smaller than the sum of its proper divisors (103530784).

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

82824224 is a wasteful number, since it uses less digits than its factorization.

82824224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369768 (or 369760 counting only the distinct ones).

The product of its digits is 16384, while the sum is 32.

The square root of 82824224 is about 9100.7815049039. The cubic root of 82824224 is about 435.8989188562.

It can be divided in two parts, 828 and 24224, that added together give a palindrome (25052).

The spelling of 82824224 in words is "eighty-two million, eight hundred twenty-four thousand, two hundred twenty-four".