85538 has 8 divisors (see below), whose sum is σ = 135120. Its totient is φ = 40500.

The previous prime is 85531. The next prime is 85549. The reversal of 85538 is 83558.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 85538.

It is not an unprimeable number, because it can be changed into a prime (85531) by changing a digit.

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 in 3 ways as a sum of consecutive naturals, for example, 1088 + ... + 1163.

It is an arithmetic number, because the mean of its divisors is an integer number (16890).

2⁸⁵⁵³⁸ is an apocalyptic number.

85538 is a deficient number, since it is larger than the sum of its proper divisors (49582).

85538 is a wasteful number, since it uses less digits than its factorization.

85538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272.

The product of its digits is 4800, while the sum is 29.

The square root of 85538 is about 292.4688017550. The cubic root of 85538 is about 44.0608661769.

The spelling of 85538 in words is "eighty-five thousand, five hundred thirty-eight".