85338 has 24 divisors (see below), whose sum is σ = 202176. Its totient is φ = 25800.

The previous prime is 85333. The next prime is 85361. The reversal of 85338 is 83358.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85338.

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18 + ... + 413.

It is an arithmetic number, because the mean of its divisors is an integer number (8424).

2⁸⁵³³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101088).

85338 is an abundant number, since it is smaller than the sum of its proper divisors (116838).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85338 is a wasteful number, since it uses less digits than its factorization.

85338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 447 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 85338 is about 292.1266848475. The cubic root of 85338 is about 44.0264991891.

The spelling of 85338 in words is "eighty-five thousand, three hundred thirty-eight".