9765625 has 11 divisors (see below), whose sum is σ = 12207031. Its totient is φ = 7812500.

The previous prime is 9765619. The next prime is 9765629. The reversal of 9765625 is 5265679.

The square root of 9765625 is 3125.

It is a perfect power (a square, a 5-th power, a 10-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 5 ways, for example, as 56169 + 9709456 = 237^2 + 3116^2 .

It is not a de Polignac number, because 9765625 - 2³ = 9765617 is a prime.

It is a Duffinian number.

Its product of digits (113400) is a multiple of the sum of its prime divisors (5).

It is a nialpdrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (9765629) by changing a digit.

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 10 ways as a sum of consecutive naturals, for example, 1953123 + ... + 1953127.

Almost surely, 2^9765625 is an apocalyptic number.

9765625 is the 3125-th square number.

9765625 is the 1563-rd centered octagonal number.

It is an amenable number.

9765625 is a deficient number, since it is larger than the sum of its proper divisors (2441406).

9765625 is an frugal number, since it uses more digits than its factorization.

9765625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 5 counting only the distinct ones).

The product of its digits is 113400, while the sum is 40.

The cubic root of 9765625 is about 213.7469933346.

It can be divided in two parts, 9 and 765625, that multiplied together give a square (6890625 = 2625²).

The spelling of 9765625 in words is "nine million, seven hundred sixty-five thousand, six hundred twenty-five".