85530 has 16 divisors (see below), whose sum is σ = 205344. Its totient is φ = 22800.

The previous prime is 85523. The next prime is 85531. The reversal of 85530 is 3558.

85530 is nontrivially palindromic in base 11.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 85497 and 85506.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85530.

It is not an unprimeable number, because it can be changed into a prime (85531) 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, 1396 + ... + 1455.

It is an arithmetic number, because the mean of its divisors is an integer number (12834).

2⁸⁵⁵³⁰ is an apocalyptic number.

85530 is an abundant number, since it is smaller than the sum of its proper divisors (119814).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102672).

85530 is a wasteful number, since it uses less digits than its factorization.

85530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2861.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 85530 is about 292.4551247628. The cubic root of 85530 is about 44.0594925265.

The spelling of 85530 in words is "eighty-five thousand, five hundred thirty".