729829 has 4 divisors (see below), whose sum is σ = 731884. Its totient is φ = 727776.

The previous prime is 729821. The next prime is 729851. The reversal of 729829 is 928927.

729829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 396900 + 332929 = 630^2 + 577^2 .

It is a cyclic number.

It is not a de Polignac number, because 729829 - 2³ = 729821 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 (729821) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 342 + ... + 1255.

It is an arithmetic number, because the mean of its divisors is an integer number (182971).

2⁷²⁹⁸²⁹ is an apocalyptic number.

729829 is the 457-th nonagonal number.

It is an amenable number.

729829 is a deficient number, since it is larger than the sum of its proper divisors (2055).

729829 is a wasteful number, since it uses less digits than its factorization.

729829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2054.

The product of its digits is 18144, while the sum is 37.

The square root of 729829 is about 854.3002984899. The cubic root of 729829 is about 90.0341023028.

The spelling of 729829 in words is "seven hundred twenty-nine thousand, eight hundred twenty-nine".