97890765625 has 21 divisors (see below), whose sum is σ = 122410796403. Its totient is φ = 78281325000.

The previous prime is 97890765607. The next prime is 97890765667. The reversal of 97890765625 is 52656709879.

The square root of 97890765625 is 312875.

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

It can be written as a sum of positive squares in 3 ways, for example, as 85761708201 + 12129057424 = 292851^2 + 110132^2 .

It is not a de Polignac number, because 97890765625 - 2⁹ = 97890765113 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 39108124 + ... + 39110626.

It is an arithmetic number, because the mean of its divisors is an integer number (5829085543).

Almost surely, 2^97890765625 is an apocalyptic number.

97890765625 is the 312875-th square number.

97890765625 is the 156438-th centered octagonal number.

It is an amenable number.

97890765625 is a deficient number, since it is larger than the sum of its proper divisors (24520030778).

97890765625 is an frugal number, since it uses more digits than its factorization.

97890765625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5036 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 64.

Multiplying 97890765625 by its sum of digits (64), we get a square (6265009000000 = 2503000²).

The spelling of 97890765625 in words is "ninety-seven billion, eight hundred ninety million, seven hundred sixty-five thousand, six hundred twenty-five".