729329 has 2 divisors, whose sum is σ = 729330. Its totient is φ = 729328.

The previous prime is 729301. The next prime is 729331. The reversal of 729329 is 923927.

729329 is nontrivially palindromic in base 7 and base 15.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 429025 + 300304 = 655^2 + 548^2 .

It is a cyclic number.

It is not a de Polignac number, because 729329 - 2⁸ = 729073 is a prime.

It is a Sophie Germain prime.

Together with 729331, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 729295 and 729304.

It is not a weakly prime, because it can be changed into another prime (729359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364664 + 364665.

It is an arithmetic number, because the mean of its divisors is an integer number (364665).

2⁷²⁹³²⁹ is an apocalyptic number.

It is an amenable number.

729329 is a deficient number, since it is larger than the sum of its proper divisors (1).

729329 is an equidigital number, since it uses as much as digits as its factorization.

729329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6804, while the sum is 32.

The square root of 729329 is about 854.0076112073. The cubic root of 729329 is about 90.0135370584.

The spelling of 729329 in words is "seven hundred twenty-nine thousand, three hundred twenty-nine".