85330 has 32 divisors (see below), whose sum is σ = 186624. Its totient is φ = 27456.

The previous prime is 85313. The next prime is 85331. The reversal of 85330 is 3358.

85330 = 4² + 5² + ... + 63².

85330 is nontrivially palindromic in base 9.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 85298 and 85307.

It is not an unprimeable number, because it can be changed into a prime (85331) by changing a digit.

85330 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1584 + ... + 1636.

It is an arithmetic number, because the mean of its divisors is an integer number (5832).

2⁸⁵³³⁰ is an apocalyptic number.

85330 is an abundant number, since it is smaller than the sum of its proper divisors (101294).

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 (93312).

85330 is a wasteful number, since it uses less digits than its factorization.

85330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 85330 is about 292.1129918371. The cubic root of 85330 is about 44.0251233932.

Adding to 85330 its reverse (3358), we get a palindrome (88688).

The spelling of 85330 in words is "eighty-five thousand, three hundred thirty".