85529 has 6 divisors (see below), whose sum is σ = 89370. Its totient is φ = 81840.

The previous prime is 85523. The next prime is 85531. The reversal of 85529 is 92558.

It can be written as a sum of positive squares in only one way, i.e., 61504 + 24025 = 248^2 + 155^2 .

It is not a de Polignac number, because 85529 - 2⁴ = 85513 is a prime.

It is a Duffinian number.

Its product of digits (3600) is a multiple of the sum of its prime divisors (120).

It is not an unprimeable number, because it can be changed into a prime (85523) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 917 + ... + 1005.

It is an arithmetic number, because the mean of its divisors is an integer number (14895).

2⁸⁵⁵²⁹ is an apocalyptic number.

85529 is a gapful number since it is divisible by the number (89) formed by its first and last digit.

It is an amenable number.

85529 is a deficient number, since it is larger than the sum of its proper divisors (3841).

85529 is an equidigital number, since it uses as much as digits as its factorization.

85529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 120 counting only the distinct ones).

The product of its digits is 3600, while the sum is 29.

The square root of 85529 is about 292.4534150938. The cubic root of 85529 is about 44.0593208142.

Adding to 85529 its sum of digits (29), we get a palindrome (85558).

The spelling of 85529 in words is "eighty-five thousand, five hundred twenty-nine".