111853 has 12 divisors (see below), whose sum is σ = 139360. Its totient is φ = 87696.

The previous prime is 111847. The next prime is 111857. The reversal of 111853 is 358111.

It is not a de Polignac number, because 111853 - 2⁵ = 111821 is a prime.

It is a super-2 number, since 2×111853² = 25022187218, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 111853.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3843 + ... + 3871.

2¹¹¹⁸⁵³ is an apocalyptic number.

It is an amenable number.

111853 is a deficient number, since it is larger than the sum of its proper divisors (27507).

111853 is an equidigital number, since it uses as much as digits as its factorization.

111853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 55 counting only the distinct ones).

The product of its digits is 120, while the sum is 19.

The square root of 111853 is about 334.4443152455. Note that the first 3 decimals coincide. The cubic root of 111853 is about 48.1817473056.

Adding to 111853 its reverse (358111), we get a palindrome (469964).

The spelling of 111853 in words is "one hundred eleven thousand, eight hundred fifty-three".