800999 has 2 divisors, whose sum is σ = 801000. Its totient is φ = 800998.

The previous prime is 800993. The next prime is 801001. The reversal of 800999 is 999008.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 800999 - 2⁸ = 800743 is a prime.

Together with 801001, it forms a pair of twin primes.

It is a Chen prime.

800999 is a modest number, since divided by 999 gives 800 as remainder.

It is a zygodrome in base 2.

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 800999.

It is not a weakly prime, because it can be changed into another prime (800993) 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, 400499 + 400500.

It is an arithmetic number, because the mean of its divisors is an integer number (400500).

2⁸⁰⁰⁹⁹⁹ is an apocalyptic number.

800999 is a deficient number, since it is larger than the sum of its proper divisors (1).

800999 is an equidigital number, since it uses as much as digits as its factorization.

800999 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 35.

The square root of 800999 is about 894.9854747425. The cubic root of 800999 is about 92.8704018260.

It can be divided in two parts, 80099 and 9, that added together give a palindrome (80108).

The spelling of 800999 in words is "eight hundred thousand, nine hundred ninety-nine".