82145800 has 48 divisors (see below), whose sum is σ = 208357200. Its totient is φ = 29870400.

The previous prime is 82145771. The next prime is 82145827. The reversal of 82145800 is 854128.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 16470 + ... + 20869.

It is an arithmetic number, because the mean of its divisors is an integer number (4340775).

Almost surely, 2^82145800 is an apocalyptic number.

It is an amenable number.

82145800 is an abundant number, since it is smaller than the sum of its proper divisors (126211400).

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

82145800 is a wasteful number, since it uses less digits than its factorization.

82145800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37366 (or 37357 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 82145800 is about 9063.4320210393. The cubic root of 82145800 is about 434.7054861178.

Adding to 82145800 its reverse (854128), we get a palindrome (82999928).

The spelling of 82145800 in words is "eighty-two million, one hundred forty-five thousand, eight hundred".