82287200 has 36 divisors (see below), whose sum is σ = 200885580. Its totient is φ = 32914560.

The previous prime is 82287143. The next prime is 82287209. The reversal of 82287200 is 278228.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82287209) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 50630 + ... + 52229.

It is an arithmetic number, because the mean of its divisors is an integer number (5580155).

Almost surely, 2^82287200 is an apocalyptic number.

82287200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82287200 is an abundant number, since it is smaller than the sum of its proper divisors (118598380).

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

82287200 is a wasteful number, since it uses less digits than its factorization.

82287200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102879 (or 102866 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 82287200 is about 9071.2292441543. The cubic root of 82287200 is about 434.9547669530.

The spelling of 82287200 in words is "eighty-two million, two hundred eighty-seven thousand, two hundred".