712331729 has 2 divisors, whose sum is σ = 712331730. Its totient is φ = 712331728.

The previous prime is 712331699. The next prime is 712331731. The reversal of 712331729 is 927133217.

712331729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 429318400 + 283013329 = 20720^2 + 16823^2 .

It is a cyclic number.

It is not a de Polignac number, because 712331729 - 2²⁸ = 443896273 is a prime.

It is a Sophie Germain prime.

Together with 712331731, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (712331759) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 356165864 + 356165865.

It is an arithmetic number, because the mean of its divisors is an integer number (356165865).

Almost surely, 2^712331729 is an apocalyptic number.

It is an amenable number.

712331729 is a deficient number, since it is larger than the sum of its proper divisors (1).

712331729 is an equidigital number, since it uses as much as digits as its factorization.

712331729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15876, while the sum is 35.

The square root of 712331729 is about 26689.5434393322. The cubic root of 712331729 is about 893.0876759958.

The spelling of 712331729 in words is "seven hundred twelve million, three hundred thirty-one thousand, seven hundred twenty-nine".