800585225 has 24 divisors (see below), whose sum is σ = 1092599712. Its totient is φ = 577068800.

The previous prime is 800585221. The next prime is 800585237. The reversal of 800585225 is 522585008.

It is not a de Polignac number, because 800585225 - 2² = 800585221 is a prime.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (800585221) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 18194 + ... + 43956.

It is an arithmetic number, because the mean of its divisors is an integer number (45524988).

Almost surely, 2^800585225 is an apocalyptic number.

It is an amenable number.

800585225 is a deficient number, since it is larger than the sum of its proper divisors (292014487).

800585225 is a wasteful number, since it uses less digits than its factorization.

800585225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25897 (or 25892 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 35.

The square root of 800585225 is about 28294.6147703057. The cubic root of 800585225 is about 928.5440760328.

The spelling of 800585225 in words is "eight hundred million, five hundred eighty-five thousand, two hundred twenty-five".