729738657 has 6 divisors (see below), whose sum is σ = 1054066962. Its totient is φ = 486492432.

The previous prime is 729738649. The next prime is 729738677. The reversal of 729738657 is 756837927.

It can be written as a sum of positive squares in only one way, i.e., 442639521 + 287099136 = 21039^2 + 16944^2 .

It is not a de Polignac number, because 729738657 - 2³ = 729738649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (729738677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40541028 + ... + 40541045.

It is an arithmetic number, because the mean of its divisors is an integer number (175677827).

Almost surely, 2^729738657 is an apocalyptic number.

It is an amenable number.

729738657 is a deficient number, since it is larger than the sum of its proper divisors (324328305).

729738657 is a wasteful number, since it uses less digits than its factorization.

729738657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81082079 (or 81082076 counting only the distinct ones).

The product of its digits is 4445280, while the sum is 54.

The square root of 729738657 is about 27013.6753700788. The cubic root of 729738657 is about 900.3038714649.

It can be divided in two parts, 7297 and 38657, that added together give a palindrome (45954).

The spelling of 729738657 in words is "seven hundred twenty-nine million, seven hundred thirty-eight thousand, six hundred fifty-seven".