82821882 has 64 divisors (see below), whose sum is σ = 197116416. Its totient is φ = 22868160.

The previous prime is 82821859. The next prime is 82821889. The reversal of 82821882 is 28812828.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 82821882.

It is not an unprimeable number, because it can be changed into a prime (82821889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70633 + ... + 71795.

It is an arithmetic number, because the mean of its divisors is an integer number (3079944).

Almost surely, 2^82821882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82821882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98558208).

82821882 is an abundant number, since it is smaller than the sum of its proper divisors (114294534).

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

82821882 is a wasteful number, since it uses less digits than its factorization.

82821882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275.

The product of its digits is 32768, while the sum is 39.

The square root of 82821882 is about 9100.6528337257. The cubic root of 82821882 is about 435.8948102157.

The spelling of 82821882 in words is "eighty-two million, eight hundred twenty-one thousand, eight hundred eighty-two".