82024192 has 36 divisors (see below), whose sum is σ = 164358040. Its totient is φ = 40854528.

The previous prime is 82024183. The next prime is 82024193. The reversal of 82024192 is 29142028.

It is a self number, because there is not a number n which added to its sum of digits gives 82024192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82024193) 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 3 ways as a sum of consecutive naturals, for example, 95059 + ... + 95917.

Almost surely, 2^82024192 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 82024192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82179020).

82024192 is an abundant number, since it is smaller than the sum of its proper divisors (82333848).

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

82024192 is an equidigital number, since it uses as much as digits as its factorization.

82024192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 82024192 is about 9056.7208193694. The cubic root of 82024192 is about 434.4908686427.

The spelling of 82024192 in words is "eighty-two million, twenty-four thousand, one hundred ninety-two".