804971825 has 48 divisors (see below), whose sum is σ = 1218302976. Its totient is φ = 515592000.

The previous prime is 804971759. The next prime is 804971831. The reversal of 804971825 is 528179408.

It is not a de Polignac number, because 804971825 - 2¹⁰ = 804970801 is a prime.

It is a Duffinian number.

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 47 ways as a sum of consecutive naturals, for example, 170750 + ... + 175400.

It is an arithmetic number, because the mean of its divisors is an integer number (25381312).

Almost surely, 2^804971825 is an apocalyptic number.

It is an amenable number.

804971825 is a deficient number, since it is larger than the sum of its proper divisors (413331151).

804971825 is a wasteful number, since it uses less digits than its factorization.

804971825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4734 (or 4729 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 44.

The square root of 804971825 is about 28372.0253947440. The cubic root of 804971825 is about 930.2368938280.

The spelling of 804971825 in words is "eight hundred four million, nine hundred seventy-one thousand, eight hundred twenty-five".