82004100 has 144 divisors (see below), whose sum is σ = 249359040. Its totient is φ = 20787200.

The previous prime is 82004033. The next prime is 82004101. The reversal of 82004100 is 140028.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 82004100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82004101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 725644 + ... + 725756.

It is an arithmetic number, because the mean of its divisors is an integer number (1731660).

Almost surely, 2^82004100 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 82004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124679520).

82004100 is an abundant number, since it is smaller than the sum of its proper divisors (167354940).

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

82004100 is a wasteful number, since it uses less digits than its factorization.

82004100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 82004100 is about 9055.6115199361. The cubic root of 82004100 is about 434.4553892587.

Adding to 82004100 its reverse (140028), we get a palindrome (82144128).

The spelling of 82004100 in words is "eighty-two million, four thousand, one hundred".