82365192 has 144 divisors (see below), whose sum is σ = 276344640. Its totient is φ = 21700224.

The previous prime is 82365149. The next prime is 82365229. The reversal of 82365192 is 29156328.

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 (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 84693 + ... + 85659.

It is an arithmetic number, because the mean of its divisors is an integer number (1919060).

Almost surely, 2^82365192 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 82365192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138172320).

82365192 is an abundant number, since it is smaller than the sum of its proper divisors (193979448).

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

82365192 is a wasteful number, since it uses less digits than its factorization.

82365192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 992 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 82365192 is about 9075.5270921308. The cubic root of 82365192 is about 435.0921406085.

The spelling of 82365192 in words is "eighty-two million, three hundred sixty-five thousand, one hundred ninety-two".