82516300 has 36 divisors (see below), whose sum is σ = 189597240. Its totient is φ = 31064320.

The previous prime is 82516277. The next prime is 82516303. The reversal of 82516300 is 361528.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (82516303) 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, 22570 + ... + 25969.

It is an arithmetic number, because the mean of its divisors is an integer number (5266590).

Almost surely, 2^82516300 is an apocalyptic number.

It is an amenable number.

82516300 is an abundant number, since it is smaller than the sum of its proper divisors (107080940).

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

82516300 is a wasteful number, since it uses less digits than its factorization.

82516300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48570 (or 48563 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 82516300 is about 9083.8483034450. The cubic root of 82516300 is about 435.3580528484.

Adding to 82516300 its reverse (361528), we get a palindrome (82877828).

The spelling of 82516300 in words is "eighty-two million, five hundred sixteen thousand, three hundred".