729167609 has 2 divisors, whose sum is σ = 729167610. Its totient is φ = 729167608.

The previous prime is 729167557. The next prime is 729167611. The reversal of 729167609 is 906761927.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 662908009 + 66259600 = 25747^2 + 8140^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-729167609 is a prime.

Together with 729167611, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (729167639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364583804 + 364583805.

It is an arithmetic number, because the mean of its divisors is an integer number (364583805).

Almost surely, 2^729167609 is an apocalyptic number.

It is an amenable number.

729167609 is a deficient number, since it is larger than the sum of its proper divisors (1).

729167609 is an equidigital number, since it uses as much as digits as its factorization.

729167609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 285768, while the sum is 47.

The square root of 729167609 is about 27003.1036919833. The cubic root of 729167609 is about 900.0689696116.

The spelling of 729167609 in words is "seven hundred twenty-nine million, one hundred sixty-seven thousand, six hundred nine".