8729 has 8 divisors (see below), whose sum is σ = 10560. Its totient is φ = 7056.

The previous prime is 8719. The next prime is 8731. The reversal of 8729 is 9278.

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

It is not a de Polignac number, because 8729 - 2⁴ = 8713 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 8698 and 8707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 182 + ... + 224.

It is an arithmetic number, because the mean of its divisors is an integer number (1320).

2⁸⁷²⁹ is an apocalyptic number.

It is an amenable number.

8729 is a deficient number, since it is larger than the sum of its proper divisors (1831).

8729 is a wasteful number, since it uses less digits than its factorization.

8729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79.

The product of its digits is 1008, while the sum is 26.

The square root of 8729 is about 93.4291175170. The cubic root of 8729 is about 20.5899281521.

It can be divided in two parts, 8 and 729, that multiplied together give a cube (5832 = 18³).

The spelling of 8729 in words is "eight thousand, seven hundred twenty-nine".