729217 has 2 divisors, whose sum is σ = 729218. Its totient is φ = 729216.

The previous prime is 729203. The next prime is 729257. The reversal of 729217 is 712927.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 641601 + 87616 = 801^2 + 296^2 .

It is an emirp because it is prime and its reverse (712927) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 729217 - 2¹¹ = 727169 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (729257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364608 + 364609.

It is an arithmetic number, because the mean of its divisors is an integer number (364609).

2⁷²⁹²¹⁷ is an apocalyptic number.

It is an amenable number.

729217 is a deficient number, since it is larger than the sum of its proper divisors (1).

729217 is an equidigital number, since it uses as much as digits as its factorization.

729217 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1764, while the sum is 28.

The square root of 729217 is about 853.9420355036. The cubic root of 729217 is about 90.0089291552.

Subtracting from 729217 its reverse (712927), we obtain a triangular number (16290 = T₁₈₀).

It can be divided in two parts, 729 and 217, that added together give a triangular number (946 = T₄₃).

The spelling of 729217 in words is "seven hundred twenty-nine thousand, two hundred seventeen".