9729 has 12 divisors (see below), whose sum is σ = 14976. Its totient is φ = 6072.

The previous prime is 9721. The next prime is 9733. The reversal of 9729 is 9279.

9729 = 9³ + 10³ + ... + 14³.

It is not a de Polignac number, because 9729 - 2³ = 9721 is a prime.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184 + ... + 230.

It is an arithmetic number, because the mean of its divisors is an integer number (1248).

It is a Proth number, since it is equal to 19 ⋅ 2⁹ + 1 and 19 < 2⁹.

2⁹⁷²⁹ is an apocalyptic number.

It is an amenable number.

9729 is a deficient number, since it is larger than the sum of its proper divisors (5247).

9729 is a wasteful number, since it uses less digits than its factorization.

9729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 73 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The square root of 9729 is about 98.6356933366. The cubic root of 9729 is about 21.3479446345.

It can be divided in two parts, 9 and 729, that multiplied together give a 8-th power (6561 = 3⁸).

The spelling of 9729 in words is "nine thousand, seven hundred twenty-nine".