810117 has 36 divisors (see below), whose sum is σ = 1493856. Its totient is φ = 418320.

The previous prime is 810109. The next prime is 810137. The reversal of 810117 is 711018.

It is not a de Polignac number, because 810117 - 2³ = 810109 is a prime.

810117 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 810117.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 810117.

It is not an unprimeable number, because it can be changed into a prime (810137) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4768 + ... + 4934.

It is an arithmetic number, because the mean of its divisors is an integer number (41496).

2⁸¹⁰¹¹⁷ is an apocalyptic number.

It is an amenable number.

810117 is a deficient number, since it is larger than the sum of its proper divisors (683739).

810117 is a wasteful number, since it uses less digits than its factorization.

810117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The square root of 810117 is about 900.0649976529. The cubic root of 810117 is about 93.2214631873.

Subtracting from 810117 its reverse (711018), we obtain a palindrome (99099).

It can be divided in two parts, 81011 and 7, that added together give a palindrome (81018).

The spelling of 810117 in words is "eight hundred ten thousand, one hundred seventeen".