97828200625 has 15 divisors (see below), whose sum is σ = 122255891373. Its totient is φ = 78256305000.

The previous prime is 97828200623. The next prime is 97828200677. The reversal of 97828200625 is 52600282879.

It is a happy number.

The square root of 97828200625 is 312775.

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

It can be written as a sum of positive squares in 2 ways, for example, as 7669730929 + 90158469696 = 87577^2 + 300264^2 .

It is not a de Polignac number, because 97828200625 - 2¹ = 97828200623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97828200623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7813120 + ... + 7825630.

Almost surely, 2^97828200625 is an apocalyptic number.

97828200625 is the 312775-th square number.

97828200625 is the 156388-th centered octagonal number.

It is an amenable number.

97828200625 is a deficient number, since it is larger than the sum of its proper divisors (24427690748).

97828200625 is an frugal number, since it uses more digits than its factorization.

97828200625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25042 (or 12516 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

Multiplying 97828200625 by its sum of digits (49), we get a square (4793581830625 = 2189425²).

The spelling of 97828200625 in words is "ninety-seven billion, eight hundred twenty-eight million, two hundred thousand, six hundred twenty-five".