800117 has 2 divisors, whose sum is σ = 800118. Its totient is φ = 800116.

The previous prime is 800113. The next prime is 800119. The reversal of 800117 is 711008.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 401956 + 398161 = 634^2 + 631^2 .

It is a cyclic number.

It is not a de Polignac number, because 800117 - 2² = 800113 is a prime.

Together with 800119, it forms a pair of twin primes.

It is a Chen prime.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 800095 and 800104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (800113) 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 as a sum of consecutive naturals, namely, 400058 + 400059.

It is an arithmetic number, because the mean of its divisors is an integer number (400059).

2⁸⁰⁰¹¹⁷ is an apocalyptic number.

It is an amenable number.

800117 is a deficient number, since it is larger than the sum of its proper divisors (1).

800117 is an equidigital number, since it uses as much as digits as its factorization.

800117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 17.

The square root of 800117 is about 894.4925935971. The cubic root of 800117 is about 92.8363020008.

The spelling of 800117 in words is "eight hundred thousand, one hundred seventeen".