820338625 has 16 divisors (see below), whose sum is σ = 1024732800. Its totient is φ = 655662000.

The previous prime is 820338583. The next prime is 820338643. The reversal of 820338625 is 526833028.

It is not a de Polignac number, because 820338625 - 2¹¹ = 820336577 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172530 + ... + 177220.

It is an arithmetic number, because the mean of its divisors is an integer number (64045800).

Almost surely, 2^820338625 is an apocalyptic number.

It is an amenable number.

820338625 is a deficient number, since it is larger than the sum of its proper divisors (204394175).

820338625 is a wasteful number, since it uses less digits than its factorization.

820338625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6105 (or 6095 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 820338625 is about 28641.5541652334. The cubic root of 820338625 is about 936.1189859116.

The spelling of 820338625 in words is "eight hundred twenty million, three hundred thirty-eight thousand, six hundred twenty-five".