838579625 has 16 divisors (see below), whose sum is σ = 1127053200. Its totient is φ = 619257600.

The previous prime is 838579607. The next prime is 838579673. The reversal of 838579625 is 526975838.

It can be written as a sum of positive squares in 8 ways, for example, as 677873296 + 160706329 = 26036^2 + 12677^2 .

It is not a de Polignac number, because 838579625 - 2⁶ = 838579561 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256400 + ... + 259649.

It is an arithmetic number, because the mean of its divisors is an integer number (70440825).

Almost surely, 2^838579625 is an apocalyptic number.

It is an amenable number.

838579625 is a deficient number, since it is larger than the sum of its proper divisors (288473575).

838579625 is a wasteful number, since it uses less digits than its factorization.

838579625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516077 (or 516067 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 53.

The square root of 838579625 is about 28958.2393283846. The cubic root of 838579625 is about 943.0066789968.

The spelling of 838579625 in words is "eight hundred thirty-eight million, five hundred seventy-nine thousand, six hundred twenty-five".