729317153 has 8 divisors (see below), whose sum is σ = 786789288. Its totient is φ = 673464064.

The previous prime is 729317131. The next prime is 729317167. The reversal of 729317153 is 351713927.

It can be written as a sum of positive squares in 4 ways, for example, as 293676769 + 435640384 = 17137^2 + 20872^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 729317153 - 2¹⁰ = 729316129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (729317653) 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 in 7 ways as a sum of consecutive naturals, for example, 403826 + ... + 405627.

It is an arithmetic number, because the mean of its divisors is an integer number (98348661).

Almost surely, 2^729317153 is an apocalyptic number.

It is an amenable number.

729317153 is a deficient number, since it is larger than the sum of its proper divisors (57472135).

729317153 is a wasteful number, since it uses less digits than its factorization.

729317153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809523.

The product of its digits is 39690, while the sum is 38.

The square root of 729317153 is about 27005.8725650552. The cubic root of 729317153 is about 900.1304967154.

The spelling of 729317153 in words is "seven hundred twenty-nine million, three hundred seventeen thousand, one hundred fifty-three".