85729 has 8 divisors (see below), whose sum is σ = 100928. Its totient is φ = 71280.

The previous prime is 85717. The next prime is 85733. The reversal of 85729 is 92758.

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 85729 - 2⁷ = 85601 is a prime.

It is a super-2 number, since 2×85729² = 14698922882, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 85729.

It is not an unprimeable number, because it can be changed into a prime (85229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94 + ... + 424.

It is an arithmetic number, because the mean of its divisors is an integer number (12616).

2⁸⁵⁷²⁹ is an apocalyptic number.

It is an amenable number.

85729 is a deficient number, since it is larger than the sum of its proper divisors (15199).

85729 is a wasteful number, since it uses less digits than its factorization.

85729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375.

The product of its digits is 5040, while the sum is 31.

The square root of 85729 is about 292.7951502331. The cubic root of 85729 is about 44.0936366780.

The spelling of 85729 in words is "eighty-five thousand, seven hundred twenty-nine".