82022144 has 72 divisors (see below), whose sum is σ = 177484608. Its totient is φ = 37683200.

The previous prime is 82022123. The next prime is 82022147. The reversal of 82022144 is 44122028.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82022147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204344 + ... + 204744.

It is an arithmetic number, because the mean of its divisors is an integer number (2465064).

Almost surely, 2^82022144 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 82022144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88742304).

82022144 is an abundant number, since it is smaller than the sum of its proper divisors (95462464).

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

82022144 is a wasteful number, since it uses less digits than its factorization.

82022144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 82022144 is about 9056.6077534582. The cubic root of 82022144 is about 434.4872524547.

The spelling of 82022144 in words is "eighty-two million, twenty-two thousand, one hundred forty-four".