827410925 has 48 divisors (see below), whose sum is σ = 1172496384. Its totient is φ = 573720000.

The previous prime is 827410907. The next prime is 827410943. The reversal of 827410925 is 529014728.

827410925 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (827410907) and next prime (827410943).

It is not a de Polignac number, because 827410925 - 2⁸ = 827410669 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 604592 + ... + 605958.

It is an arithmetic number, because the mean of its divisors is an integer number (24427008).

Almost surely, 2^827410925 is an apocalyptic number.

It is an amenable number.

827410925 is a deficient number, since it is larger than the sum of its proper divisors (345085459).

827410925 is a wasteful number, since it uses less digits than its factorization.

827410925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 827410925 is about 28764.7514329604. The cubic root of 827410925 is about 938.8014470006.

The spelling of 827410925 in words is "eight hundred twenty-seven million, four hundred ten thousand, nine hundred twenty-five".