82204038 has 64 divisors (see below), whose sum is σ = 216000000. Its totient is φ = 22673952.

The previous prime is 82203967. The next prime is 82204043. The reversal of 82204038 is 83040228.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7213 + ... + 14711.

It is an arithmetic number, because the mean of its divisors is an integer number (3375000).

Almost surely, 2^82204038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82204038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108000000).

82204038 is an abundant number, since it is smaller than the sum of its proper divisors (133795962).

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

82204038 is a wasteful number, since it uses less digits than its factorization.

82204038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7546 (or 7540 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 82204038 is about 9066.6442524233. The cubic root of 82204038 is about 434.8081912985.

The spelling of 82204038 in words is "eighty-two million, two hundred four thousand, thirty-eight".