82503712 has 48 divisors (see below), whose sum is σ = 167378400. Its totient is φ = 40015360.

The previous prime is 82503697. The next prime is 82503731. The reversal of 82503712 is 21730528.

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 7 ways as a sum of consecutive naturals, for example, 167787 + ... + 168277.

It is an arithmetic number, because the mean of its divisors is an integer number (3487050).

Almost surely, 2^82503712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82503712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83689200).

82503712 is an abundant number, since it is smaller than the sum of its proper divisors (84874688).

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

82503712 is a wasteful number, since it uses less digits than its factorization.

82503712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 82503712 is about 9083.1553988688. The cubic root of 82503712 is about 435.3359135221.

The spelling of 82503712 in words is "eighty-two million, five hundred three thousand, seven hundred twelve".