729713 has 2 divisors, whose sum is σ = 729714. Its totient is φ = 729712.

The previous prime is 729689. The next prime is 729719. The reversal of 729713 is 317927.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 719104 + 10609 = 848^2 + 103^2 .

It is a cyclic number.

It is not a de Polignac number, because 729713 - 2⁶ = 729649 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (729719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364856 + 364857.

It is an arithmetic number, because the mean of its divisors is an integer number (364857).

2⁷²⁹⁷¹³ is an apocalyptic number.

It is an amenable number.

729713 is a deficient number, since it is larger than the sum of its proper divisors (1).

729713 is an equidigital number, since it uses as much as digits as its factorization.

729713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2646, while the sum is 29.

The square root of 729713 is about 854.2324039745. The cubic root of 729713 is about 90.0293320031.

The spelling of 729713 in words is "seven hundred twenty-nine thousand, seven hundred thirteen".