82281892 has 48 divisors (see below), whose sum is σ = 180311040. Its totient is φ = 31917600.

The previous prime is 82281889. The next prime is 82281893. The reversal of 82281892 is 29818228.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (82281893) 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 15 ways as a sum of consecutive naturals, for example, 95359 + ... + 96217.

It is an arithmetic number, because the mean of its divisors is an integer number (3756480).

Almost surely, 2^82281892 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 82281892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90155520).

82281892 is an abundant number, since it is smaller than the sum of its proper divisors (98029148).

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

82281892 is a wasteful number, since it uses less digits than its factorization.

82281892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1190 counting only the distinct ones).

The product of its digits is 36864, while the sum is 40.

The square root of 82281892 is about 9070.9366660781. The cubic root of 82281892 is about 434.9454143864.

The spelling of 82281892 in words is "eighty-two million, two hundred eighty-one thousand, eight hundred ninety-two".