82052224 has 64 divisors (see below), whose sum is σ = 174493440. Its totient is φ = 38342656.

The previous prime is 82052209. The next prime is 82052231. The reversal of 82052224 is 42225028.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138072 + ... + 138664.

It is an arithmetic number, because the mean of its divisors is an integer number (2726460).

Almost surely, 2^82052224 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 82052224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87246720).

82052224 is an abundant number, since it is smaller than the sum of its proper divisors (92441216).

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

82052224 is a wasteful number, since it uses less digits than its factorization.

82052224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 82052224 is about 9058.2682671690. The cubic root of 82052224 is about 434.5403591671.

The spelling of 82052224 in words is "eighty-two million, fifty-two thousand, two hundred twenty-four".