82132192 has 48 divisors (see below), whose sum is σ = 167106240. Its totient is φ = 39716352.

The previous prime is 82132187. The next prime is 82132199. The reversal of 82132192 is 29123128.

It is a self number, because there is not a number n which added to its sum of digits gives 82132192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82132199) 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 7 ways as a sum of consecutive naturals, for example, 133678 + ... + 134290.

It is an arithmetic number, because the mean of its divisors is an integer number (3481380).

Almost surely, 2^82132192 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 82132192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83553120).

82132192 is an abundant number, since it is smaller than the sum of its proper divisors (84974048).

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

82132192 is a wasteful number, since it uses less digits than its factorization.

82132192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 747 counting only the distinct ones).

The product of its digits is 1728, while the sum is 28.

The square root of 82132192 is about 9062.6812809455. The cubic root of 82132192 is about 434.6814808372.

The spelling of 82132192 in words is "eighty-two million, one hundred thirty-two thousand, one hundred ninety-two".