729958673 has 2 divisors, whose sum is σ = 729958674. Its totient is φ = 729958672.

The previous prime is 729958637. The next prime is 729958703. The reversal of 729958673 is 376859927.

Together with previous prime (729958637) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 718615249 + 11343424 = 26807^2 + 3368^2 .

It is a cyclic number.

It is not a de Polignac number, because 729958673 - 2²⁰ = 728910097 is a prime.

It is not a weakly prime, because it can be changed into another prime (729958633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364979336 + 364979337.

It is an arithmetic number, because the mean of its divisors is an integer number (364979337).

Almost surely, 2^729958673 is an apocalyptic number.

It is an amenable number.

729958673 is a deficient number, since it is larger than the sum of its proper divisors (1).

729958673 is an equidigital number, since it uses as much as digits as its factorization.

729958673 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5715360, while the sum is 56.

The square root of 729958673 is about 27017.7473709412. The cubic root of 729958673 is about 900.3943428279.

The spelling of 729958673 in words is "seven hundred twenty-nine million, nine hundred fifty-eight thousand, six hundred seventy-three".