85938 has 8 divisors (see below), whose sum is σ = 171888. Its totient is φ = 28644.

The previous prime is 85933. The next prime is 85991. The reversal of 85938 is 83958.

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

85938 is an admirable number.

It is a Curzon number.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 85899 and 85908.

It is not an unprimeable number, because it can be changed into a prime (85931) 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, 7156 + ... + 7167.

It is an arithmetic number, because the mean of its divisors is an integer number (21486).

2⁸⁵⁹³⁸ is an apocalyptic number.

85938 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 (85944).

85938 is a wasteful number, since it uses less digits than its factorization.

85938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14328.

The product of its digits is 8640, while the sum is 33.

The square root of 85938 is about 293.1518377906. The cubic root of 85938 is about 44.1294397756.

Subtracting from 85938 its sum of digits (33), we obtain a triangular number (85905 = T₄₁₄).

The spelling of 85938 in words is "eighty-five thousand, nine hundred thirty-eight".