82822176 has 72 divisors (see below), whose sum is σ = 244271664. Its totient is φ = 27604800.

The previous prime is 82822127. The next prime is 82822211. The reversal of 82822176 is 67122828.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 82822176.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2451 + ... + 13101.

It is an arithmetic number, because the mean of its divisors is an integer number (3392662).

Almost surely, 2^82822176 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 82822176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122135832).

82822176 is an abundant number, since it is smaller than the sum of its proper divisors (161449488).

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

82822176 is a wasteful number, since it uses less digits than its factorization.

82822176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10676 (or 10656 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 82822176 is about 9100.6689863987. The cubic root of 82822176 is about 435.8953259929.

The spelling of 82822176 in words is "eighty-two million, eight hundred twenty-two thousand, one hundred seventy-six".