808993 has 2 divisors, whose sum is σ = 808994. Its totient is φ = 808992.

The previous prime is 808991. The next prime is 809023. The reversal of 808993 is 399808.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 788544 + 20449 = 888^2 + 143^2 .

It is a cyclic number.

It is not a de Polignac number, because 808993 - 2¹ = 808991 is a prime.

Together with 808991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (808991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 404496 + 404497.

It is an arithmetic number, because the mean of its divisors is an integer number (404497).

2⁸⁰⁸⁹⁹³ is an apocalyptic number.

It is an amenable number.

808993 is a deficient number, since it is larger than the sum of its proper divisors (1).

808993 is an equidigital number, since it uses as much as digits as its factorization.

808993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 808993 is about 899.4403815707. The cubic root of 808993 is about 93.1783297380.

The spelling of 808993 in words is "eight hundred eight thousand, nine hundred ninety-three".