111852 has 36 divisors (see below), whose sum is σ = 305760. Its totient is φ = 34272.

The previous prime is 111847. The next prime is 111857. The reversal of 111852 is 258111.

It is an interprime number because it is at equal distance from previous prime (111847) and next prime (111857).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (111857) by changing a digit.

111852 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 349 + ... + 587.

2¹¹¹⁸⁵² is an apocalyptic number.

111852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152880).

111852 is an abundant number, since it is smaller than the sum of its proper divisors (193908).

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

111852 is a wasteful number, since it uses less digits than its factorization.

111852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 257 counting only the distinct ones).

The product of its digits is 80, while the sum is 18.

The square root of 111852 is about 334.4428202249. The cubic root of 111852 is about 48.1816037187.

Adding to 111852 its reverse (258111), we get a palindrome (369963).

The spelling of 111852 in words is "one hundred eleven thousand, eight hundred fifty-two".