82563200 has 48 divisors (see below), whose sum is σ = 203964810. Its totient is φ = 33024000.

The previous prime is 82563197. The next prime is 82563211. The reversal of 82563200 is 236528.

It can be written as a sum of positive squares in 3 ways, for example, as 61842496 + 20720704 = 7864^2 + 4552^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 82563200.

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 5 ways as a sum of consecutive naturals, for example, 9701 + ... + 16100.

Almost surely, 2^82563200 is an apocalyptic number.

82563200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82563200 is an abundant number, since it is smaller than the sum of its proper divisors (121401610).

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

82563200 is a wasteful number, since it uses less digits than its factorization.

82563200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25825 (or 25808 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 82563200 is about 9086.4294417554. The cubic root of 82563200 is about 435.4405190823.

Adding to 82563200 its reverse (236528), we get a palindrome (82799728).

The spelling of 82563200 in words is "eighty-two million, five hundred sixty-three thousand, two hundred".