800825 has 12 divisors (see below), whose sum is σ = 1005888. Its totient is φ = 632400.

The previous prime is 800801. The next prime is 800861. The reversal of 800825 is 528008.

It is not a de Polignac number, because 800825 - 2¹⁰ = 799801 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 800825.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2420 + ... + 2730.

It is an arithmetic number, because the mean of its divisors is an integer number (83824).

2⁸⁰⁰⁸²⁵ is an apocalyptic number.

It is an amenable number.

800825 is a deficient number, since it is larger than the sum of its proper divisors (205063).

800825 is a wasteful number, since it uses less digits than its factorization.

800825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 800825 is about 894.8882611812. Note that the first 3 decimals coincide. The cubic root of 800825 is about 92.8636766324.

The spelling of 800825 in words is "eight hundred thousand, eight hundred twenty-five".