10965625 has 36 divisors (see below), whose sum is σ = 15584940. Its totient is φ = 7700000.

The previous prime is 10965613. The next prime is 10965631. The reversal of 10965625 is 52656901.

10965625 = T₈₆ + T₈₇ + ... + T₄₀₄.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 8952064 + 2013561 = 2992^2 + 1419^2 .

It is not a de Polignac number, because 10965625 - 2⁹ = 10965113 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 378111 + ... + 378139.

It is an arithmetic number, because the mean of its divisors is an integer number (432915).

Almost surely, 2^10965625 is an apocalyptic number.

It is an amenable number.

10965625 is a deficient number, since it is larger than the sum of its proper divisors (4619315).

10965625 is an frugal number, since it uses more digits than its factorization.

10965625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 34.

The square root of 10965625 is about 3311.4385091679. The cubic root of 10965625 is about 222.1661027271.

The spelling of 10965625 in words is "ten million, nine hundred sixty-five thousand, six hundred twenty-five".