729605 has 8 divisors (see below), whose sum is σ = 880152. Its totient is φ = 580608.

The previous prime is 729601. The next prime is 729607. The reversal of 729605 is 506927.

It can be written as a sum of positive squares in 4 ways, for example, as 289 + 729316 = 17^2 + 854^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 729605 - 2² = 729601 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1469 + ... + 1901.

It is an arithmetic number, because the mean of its divisors is an integer number (110019).

2⁷²⁹⁶⁰⁵ is an apocalyptic number.

It is an amenable number.

729605 is a deficient number, since it is larger than the sum of its proper divisors (150547).

729605 is a wasteful number, since it uses less digits than its factorization.

729605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775.

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 729605 is about 854.1691869882. The cubic root of 729605 is about 90.0248902351.

The spelling of 729605 in words is "seven hundred twenty-nine thousand, six hundred five".