82329192 has 48 divisors (see below), whose sum is σ = 243247680. Its totient is φ = 24948000.

The previous prime is 82329161. The next prime is 82329197. The reversal of 82329192 is 29192328.

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

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

It is not an unprimeable number, because it can be changed into a prime (82329197) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 51184 + ... + 52767.

It is an arithmetic number, because the mean of its divisors is an integer number (5067660).

Almost surely, 2^82329192 is an apocalyptic number.

It is an amenable number.

82329192 is an abundant number, since it is smaller than the sum of its proper divisors (160918488).

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

82329192 is a wasteful number, since it uses less digits than its factorization.

82329192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103974 (or 103967 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 82329192 is about 9073.5435194856. The cubic root of 82329192 is about 435.0287416602.

It can be divided in two parts, 8232 and 9192, that added together give a square (17424 = 132²).

The spelling of 82329192 in words is "eighty-two million, three hundred twenty-nine thousand, one hundred ninety-two".