84317640625 has 63 divisors (see below), whose sum is σ = 111279024829. Its totient is φ = 63882500000.

The previous prime is 84317640607. The next prime is 84317640637. The reversal of 84317640625 is 52604671348.

The square root of 84317640625 is 290375.

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

It can be written as a sum of positive squares in 10 ways, for example, as 82167649201 + 2149991424 = 286649^2 + 46368^2 .

It is a de Polignac number, because none of the positive numbers 2^k-84317640625 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 (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 834828075 + ... + 834828175.

Almost surely, 2^84317640625 is an apocalyptic number.

84317640625 is the 290375-th square number.

84317640625 is the 145188-th centered octagonal number.

It is an amenable number.

84317640625 is a deficient number, since it is larger than the sum of its proper divisors (26961384204).

84317640625 is an frugal number, since it uses more digits than its factorization.

84317640625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 84317640625 in words is "eighty-four billion, three hundred seventeen million, six hundred forty thousand, six hundred twenty-five".