729396257 has 2 divisors, whose sum is σ = 729396258. Its totient is φ = 729396256.

The previous prime is 729396233. The next prime is 729396299. The reversal of 729396257 is 752693927.

It is a happy number.

729396257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 430936081 + 298460176 = 20759^2 + 17276^2 .

It is a cyclic number.

It is not a de Polignac number, because 729396257 - 2⁶ = 729396193 is a prime.

It is a super-2 number, since 2×729396257² = 1064037799451220098, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (729396557) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364698128 + 364698129.

It is an arithmetic number, because the mean of its divisors is an integer number (364698129).

Almost surely, 2^729396257 is an apocalyptic number.

It is an amenable number.

729396257 is a deficient number, since it is larger than the sum of its proper divisors (1).

729396257 is an equidigital number, since it uses as much as digits as its factorization.

729396257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1428840, while the sum is 50.

The square root of 729396257 is about 27007.3370956857. The cubic root of 729396257 is about 900.1630391872.

The spelling of 729396257 in words is "seven hundred twenty-nine million, three hundred ninety-six thousand, two hundred fifty-seven".