82890625 has 16 divisors (see below), whose sum is σ = 103710672. Its totient is φ = 66250000.

The previous prime is 82890607. The next prime is 82890631. The reversal of 82890625 is 52609828.

It can be written as a sum of positive squares in 8 ways, for example, as 69355584 + 13535041 = 8328^2 + 3679^2 .

It is a de Polignac number, because none of the positive numbers 2^k-82890625 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 77595 + ... + 78655.

It is an arithmetic number, because the mean of its divisors is an integer number (6481917).

Almost surely, 2^82890625 is an apocalyptic number.

It is an amenable number.

82890625 is a deficient number, since it is larger than the sum of its proper divisors (20820047).

82890625 is an frugal number, since it uses more digits than its factorization.

82890625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 82890625 is about 9104.4288673151. The cubic root of 82890625 is about 436.0153758991.

The spelling of 82890625 in words is "eighty-two million, eight hundred ninety thousand, six hundred twenty-five".