830107009 has 2 divisors, whose sum is σ = 830107010. Its totient is φ = 830107008.

The previous prime is 830106967. The next prime is 830107043. The reversal of 830107009 is 900701038.

830107009 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., 803892609 + 26214400 = 28353^2 + 5120^2 .

It is a cyclic number.

It is not a de Polignac number, because 830107009 - 2⁷ = 830106881 is a prime.

It is not a weakly prime, because it can be changed into another prime (830107409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 415053504 + 415053505.

It is an arithmetic number, because the mean of its divisors is an integer number (415053505).

Almost surely, 2^830107009 is an apocalyptic number.

It is an amenable number.

830107009 is a deficient number, since it is larger than the sum of its proper divisors (1).

830107009 is an equidigital number, since it uses as much as digits as its factorization.

830107009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 830107009 is about 28811.5776902272. The cubic root of 830107009 is about 939.8200232614.

The spelling of 830107009 in words is "eight hundred thirty million, one hundred seven thousand, nine".