800993 has 2 divisors, whose sum is σ = 800994. Its totient is φ = 800992.

The previous prime is 800977. The next prime is 800999. The reversal of 800993 is 399008.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 795664 + 5329 = 892^2 + 73^2 .

It is a cyclic number.

It is not a de Polignac number, because 800993 - 2⁴ = 800977 is a prime.

It is not a weakly prime, because it can be changed into another prime (800999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400496 + 400497.

It is an arithmetic number, because the mean of its divisors is an integer number (400497).

2⁸⁰⁰⁹⁹³ is an apocalyptic number.

It is an amenable number.

800993 is a deficient number, since it is larger than the sum of its proper divisors (1).

800993 is an equidigital number, since it uses as much as digits as its factorization.

800993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 800993 is about 894.9821227265. The cubic root of 800993 is about 92.8701699390.

The spelling of 800993 in words is "eight hundred thousand, nine hundred ninety-three".