82932192 has 144 divisors (see below), whose sum is σ = 278433792. Its totient is φ = 22913280.

The previous prime is 82932163. The next prime is 82932203. The reversal of 82932192 is 29123928.

It is a tau number, because it is divible by the number of its divisors (144).

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 a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 61833 + ... + 63159.

It is an arithmetic number, because the mean of its divisors is an integer number (1933568).

Almost surely, 2^82932192 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 82932192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139216896).

82932192 is an abundant number, since it is smaller than the sum of its proper divisors (195501600).

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

82932192 is a wasteful number, since it uses less digits than its factorization.

82932192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1370 counting only the distinct ones).

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

The square root of 82932192 is about 9106.7113712910. The cubic root of 82932192 is about 436.0882463131.

The spelling of 82932192 in words is "eighty-two million, nine hundred thirty-two thousand, one hundred ninety-two".