809993 has 2 divisors, whose sum is σ = 809994. Its totient is φ = 809992.

The previous prime is 809983. The next prime is 810013. The reversal of 809993 is 399908.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 797449 + 12544 = 893^2 + 112^2 .

It is a cyclic number.

It is not a de Polignac number, because 809993 - 2⁶ = 809929 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (809903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 404996 + 404997.

It is an arithmetic number, because the mean of its divisors is an integer number (404997).

2⁸⁰⁹⁹⁹³ is an apocalyptic number.

It is an amenable number.

809993 is a deficient number, since it is larger than the sum of its proper divisors (1).

809993 is an equidigital number, since it uses as much as digits as its factorization.

809993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17496, while the sum is 38.

The square root of 809993 is about 899.9961111027. The cubic root of 809993 is about 93.2167066516.

It can be divided in two parts, 8099 and 93, that added together give a 13-th power (8192 = 2¹³).

The spelling of 809993 in words is "eight hundred nine thousand, nine hundred ninety-three".