800661593 has 2 divisors, whose sum is σ = 800661594. Its totient is φ = 800661592.

The previous prime is 800661569. The next prime is 800661601. The reversal of 800661593 is 395166008.

800661593 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 551874064 + 248787529 = 23492^2 + 15773^2 .

It is a cyclic number.

It is not a de Polignac number, because 800661593 - 2¹⁶ = 800596057 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (800661503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400330796 + 400330797.

It is an arithmetic number, because the mean of its divisors is an integer number (400330797).

Almost surely, 2^800661593 is an apocalyptic number.

It is an amenable number.

800661593 is a deficient number, since it is larger than the sum of its proper divisors (1).

800661593 is an equidigital number, since it uses as much as digits as its factorization.

800661593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 800661593 is about 28295.9642528754. The cubic root of 800661593 is about 928.5735997684.

The spelling of 800661593 in words is "eight hundred million, six hundred sixty-one thousand, five hundred ninety-three".