85328 has 10 divisors (see below), whose sum is σ = 165354. Its totient is φ = 42656.

The previous prime is 85313. The next prime is 85331. The reversal of 85328 is 82358.

It can be written as a sum of positive squares in only one way, i.e., 85264 + 64 = 292^2 + 8^2 .

It is a junction number, because it is equal to n+sod(n) for n = 85297 and 85306.

It is a congruent number.

It is an unprimeable number.

85328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2651 + ... + 2682.

2⁸⁵³²⁸ is an apocalyptic number.

It is an amenable number.

85328 is a deficient number, since it is larger than the sum of its proper divisors (80026).

85328 is a wasteful number, since it uses less digits than its factorization.

85328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5341 (or 5335 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 85328 is about 292.1095684842. The cubic root of 85328 is about 44.0247794308.

It can be divided in two parts, 8 and 5328, that multiplied together give a palindrome (42624).

The spelling of 85328 in words is "eighty-five thousand, three hundred twenty-eight".