85038 has 8 divisors (see below), whose sum is σ = 170088. Its totient is φ = 28344.

The previous prime is 85037. The next prime is 85049. The reversal of 85038 is 83058.

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

85038 is an admirable number.

It is a super-2 number, since 2×85038² = 14462922888, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 84999 and 85017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85037) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7081 + ... + 7092.

It is an arithmetic number, because the mean of its divisors is an integer number (21261).

2⁸⁵⁰³⁸ is an apocalyptic number.

85038 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (85044).

85038 is a wasteful number, since it uses less digits than its factorization.

85038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14178.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 85038 is about 291.6127569226. The cubic root of 85038 is about 43.9748478838.

It can be divided in two parts, 850 and 38, that added together give a palindrome (888).

The spelling of 85038 in words is "eighty-five thousand, thirty-eight".