385112 has 48 divisors (see below), whose sum is σ = 929040. Its totient is φ = 145728.

The previous prime is 385109. The next prime is 385127. The reversal of 385112 is 211583.

385112 is nontrivially palindromic in base 3.

385112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×385112² = 296622505088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16733 + ... + 16755.

It is an arithmetic number, because the mean of its divisors is an integer number (19355).

2³⁸⁵¹¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464520).

385112 is an abundant number, since it is smaller than the sum of its proper divisors (543928).

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

385112 is a wasteful number, since it uses less digits than its factorization.

385112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 45 counting only the distinct ones).

The product of its digits is 240, while the sum is 20.

The square root of 385112 is about 620.5739279087. The cubic root of 385112 is about 72.7549171422.

Adding to 385112 its reverse (211583), we get a palindrome (596695).

The spelling of 385112 in words is "three hundred eighty-five thousand, one hundred twelve".