82004200 has 48 divisors (see below), whose sum is σ = 198960480. Its totient is φ = 31373760.

The previous prime is 82004179. The next prime is 82004201. The reversal of 82004200 is 240028.

It is not an unprimeable number, because it can be changed into a prime (82004201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4314 + ... + 13513.

It is an arithmetic number, because the mean of its divisors is an integer number (4145010).

Almost surely, 2^82004200 is an apocalyptic number.

It is an amenable number.

82004200 is an abundant number, since it is smaller than the sum of its proper divisors (116956280).

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

82004200 is a wasteful number, since it uses less digits than its factorization.

82004200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17866 (or 17857 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 82004200 is about 9055.6170413727. The cubic root of 82004200 is about 434.4555658576.

Adding to 82004200 its reverse (240028), we get a palindrome (82244228).

The spelling of 82004200 in words is "eighty-two million, four thousand, two hundred".