85329 has 12 divisors (see below), whose sum is σ = 130000. Its totient is φ = 53784.

The previous prime is 85313. The next prime is 85331. The reversal of 85329 is 92358.

It is not a de Polignac number, because 85329 - 2⁴ = 85313 is a prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 8³ + 5⁷ + 3 + 2⁷ + 9⁴ .

It is a Duffinian number.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (85369) 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, 79 + ... + 420.

2⁸⁵³²⁹ is an apocalyptic number.

It is an amenable number.

85329 is a deficient number, since it is larger than the sum of its proper divisors (44671).

85329 is a wasteful number, since it uses less digits than its factorization.

85329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 521 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 85329 is about 292.1112801656. Note that the first 3 decimals coincide. The cubic root of 85329 is about 44.0249514127.

It can be divided in two parts, 85 and 329, that added together give a palindrome (414).

The spelling of 85329 in words is "eighty-five thousand, three hundred twenty-nine".