801117 has 8 divisors (see below), whose sum is σ = 1186880. Its totient is φ = 534060.

The previous prime is 801107. The next prime is 801127. The reversal of 801117 is 711108.

It is an interprime number because it is at equal distance from previous prime (801107) and next prime (801127).

It is not a de Polignac number, because 801117 - 2⁸ = 800861 is a prime.

It is a Duffinian number.

801117 is a lucky number.

It is a nialpdrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 801117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14809 + ... + 14862.

It is an arithmetic number, because the mean of its divisors is an integer number (148360).

2⁸⁰¹¹¹⁷ is an apocalyptic number.

It is an amenable number.

801117 is a deficient number, since it is larger than the sum of its proper divisors (385763).

801117 is a wasteful number, since it uses less digits than its factorization.

801117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29680 (or 29674 counting only the distinct ones).

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

The square root of 801117 is about 895.0513951724. The cubic root of 801117 is about 92.8749620354.

Subtracting from 801117 its reverse (711108), we obtain a palindrome (90009).

The spelling of 801117 in words is "eight hundred one thousand, one hundred seventeen".