82138092 has 48 divisors (see below), whose sum is σ = 199311840. Its totient is φ = 26295808.

The previous prime is 82138079. The next prime is 82138097. The reversal of 82138092 is 29083128.

It is not an unprimeable number, because it can be changed into a prime (82138097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80578 + ... + 81590.

It is an arithmetic number, because the mean of its divisors is an integer number (4152330).

Almost surely, 2^82138092 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 82138092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99655920).

82138092 is an abundant number, since it is smaller than the sum of its proper divisors (117173748).

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

82138092 is a wasteful number, since it uses less digits than its factorization.

82138092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 82138092 is about 9063.0067858300. The cubic root of 82138092 is about 434.6918890960.

The spelling of 82138092 in words is "eighty-two million, one hundred thirty-eight thousand, ninety-two".