813103729 has 2 divisors, whose sum is σ = 813103730. Its totient is φ = 813103728.

The previous prime is 813103723. The next prime is 813103763. The reversal of 813103729 is 927301318.

It is an a-pointer prime, because the next prime (813103763) can be obtained adding 813103729 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 696960000 + 116143729 = 26400^2 + 10777^2 .

It is a cyclic number.

It is not a de Polignac number, because 813103729 - 2¹³ = 813095537 is a prime.

It is a super-2 number, since 2×813103729² = 1322275348227410882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 813103694 and 813103703.

It is not a weakly prime, because it can be changed into another prime (813103723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 406551864 + 406551865.

It is an arithmetic number, because the mean of its divisors is an integer number (406551865).

Almost surely, 2^813103729 is an apocalyptic number.

It is an amenable number.

813103729 is a deficient number, since it is larger than the sum of its proper divisors (1).

813103729 is an equidigital number, since it uses as much as digits as its factorization.

813103729 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 34.

The square root of 813103729 is about 28514.9737681801. The cubic root of 813103729 is about 933.3588525194.

The spelling of 813103729 in words is "eight hundred thirteen million, one hundred three thousand, seven hundred twenty-nine".