827905625 has 10 divisors (see below), whose sum is σ = 1034551650. Its totient is φ = 662324000.

The previous prime is 827905621. The next prime is 827905643. The reversal of 827905625 is 526509728.

827905625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 365268544 + 462637081 = 19112^2 + 21509^2 .

It is not a de Polignac number, because 827905625 - 2² = 827905621 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (827905621) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 661700 + ... + 662949.

It is an arithmetic number, because the mean of its divisors is an integer number (103455165).

Almost surely, 2^827905625 is an apocalyptic number.

It is an amenable number.

827905625 is a deficient number, since it is larger than the sum of its proper divisors (206646025).

827905625 is an equidigital number, since it uses as much as digits as its factorization.

827905625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324669 (or 1324654 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 44.

The square root of 827905625 is about 28773.3492141600. The cubic root of 827905625 is about 938.9885094522.

The spelling of 827905625 in words is "eight hundred twenty-seven million, nine hundred five thousand, six hundred twenty-five".