817601093 has 2 divisors, whose sum is σ = 817601094. Its totient is φ = 817601092.

The previous prime is 817600963. The next prime is 817601107. The reversal of 817601093 is 390106718.

817601093 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., 456335044 + 361266049 = 21362^2 + 19007^2 .

It is a cyclic number.

It is not a de Polignac number, because 817601093 - 2¹⁴ = 817584709 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (817691093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 408800546 + 408800547.

It is an arithmetic number, because the mean of its divisors is an integer number (408800547).

Almost surely, 2^817601093 is an apocalyptic number.

It is an amenable number.

817601093 is a deficient number, since it is larger than the sum of its proper divisors (1).

817601093 is an equidigital number, since it uses as much as digits as its factorization.

817601093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 817601093 is about 28593.7247136500. The cubic root of 817601093 is about 935.0765255219.

The spelling of 817601093 in words is "eight hundred seventeen million, six hundred one thousand, ninety-three".