82903684900 has 27 divisors (see below), whose sum is σ = 179907244531. Its totient is φ = 33160322240.

The previous prime is 82903684879. The next prime is 82903684901. The reversal of 82903684900 is 948630928.

The square root of 82903684900 is 287930.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 11332454116 + 71571230784 = 106454^2 + 267528^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82903684901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2864904 + ... + 2893696.

Almost surely, 2^82903684900 is an apocalyptic number.

82903684900 is the 287930-th square number.

It is an amenable number.

82903684900 is an abundant number, since it is smaller than the sum of its proper divisors (97003559631).

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

82903684900 is an frugal number, since it uses more digits than its factorization.

82903684900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57600 (or 28800 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

Multiplying 82903684900 by its sum of digits (49), we get a square (4062280560100 = 2015510²).

It can be divided in two parts, 829036 and 84900, that added together give a square (913936 = 956²).

The spelling of 82903684900 in words is "eighty-two billion, nine hundred three million, six hundred eighty-four thousand, nine hundred".