729556097 has 2 divisors, whose sum is σ = 729556098. Its totient is φ = 729556096.

The previous prime is 729556081. The next prime is 729556117. The reversal of 729556097 is 790655927.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 544568896 + 184987201 = 23336^2 + 13601^2 .

It is an emirp because it is prime and its reverse (790655927) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 729556097 - 2⁴ = 729556081 is a prime.

It is not a weakly prime, because it can be changed into another prime (729556057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364778048 + 364778049.

It is an arithmetic number, because the mean of its divisors is an integer number (364778049).

Almost surely, 2^729556097 is an apocalyptic number.

It is an amenable number.

729556097 is a deficient number, since it is larger than the sum of its proper divisors (1).

729556097 is an equidigital number, since it uses as much as digits as its factorization.

729556097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1190700, while the sum is 50.

The square root of 729556097 is about 27010.2961294392. The cubic root of 729556097 is about 900.2287883370.

The spelling of 729556097 in words is "seven hundred twenty-nine million, five hundred fifty-six thousand, ninety-seven".