96530625 has 45 divisors (see below), whose sum is σ = 175575829. Its totient is φ = 51090000.

The previous prime is 96530597. The next prime is 96530663. The reversal of 96530625 is 52603569.

The square root of 96530625 is 9825.

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 7568001 + 88962624 = 2751^2 + 9432^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 96530625 - 2⁵ = 96530593 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 96530625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 736810 + ... + 736940.

Almost surely, 2^96530625 is an apocalyptic number.

96530625 is the 9825-th square number.

96530625 is the 4913-rd centered octagonal number.

It is an amenable number.

96530625 is a deficient number, since it is larger than the sum of its proper divisors (79045204).

96530625 is an equidigital number, since it uses as much as digits as its factorization.

96530625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The cubic root of 96530625 is about 458.7277779800.

Multiplying 96530625 by its sum of digits (36), we get a square (3475102500 = 58950²).

The spelling of 96530625 in words is "ninety-six million, five hundred thirty thousand, six hundred twenty-five".