82552200 has 48 divisors (see below), whose sum is σ = 255913680. Its totient is φ = 22013760.

The previous prime is 82552193. The next prime is 82552201. The reversal of 82552200 is 225528.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (82552201) 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 11 ways as a sum of consecutive naturals, for example, 68194 + ... + 69393.

It is an arithmetic number, because the mean of its divisors is an integer number (5331535).

Almost surely, 2^82552200 is an apocalyptic number.

It is an amenable number.

82552200 is an abundant number, since it is smaller than the sum of its proper divisors (173361480).

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

82552200 is a wasteful number, since it uses less digits than its factorization.

82552200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137606 (or 137597 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 82552200 is about 9085.8241233253. The cubic root of 82552200 is about 435.4211801256.

Adding to 82552200 its reverse (225528), we get a palindrome (82777728).

The spelling of 82552200 in words is "eighty-two million, five hundred fifty-two thousand, two hundred".