111684 has 24 divisors (see below), whose sum is σ = 268128. Its totient is φ = 36160.

The previous prime is 111667. The next prime is 111697. The reversal of 111684 is 486111.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 111684.

It is a congruent number.

It is an unprimeable number.

111684 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 379 + ... + 605.

It is an arithmetic number, because the mean of its divisors is an integer number (11172).

2¹¹¹⁶⁸⁴ is an apocalyptic number.

It is an amenable number.

111684 is an abundant number, since it is smaller than the sum of its proper divisors (156444).

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

111684 is a wasteful number, since it uses less digits than its factorization.

111684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 273 counting only the distinct ones).

The product of its digits is 192, while the sum is 21.

The square root of 111684 is about 334.1915618324. The cubic root of 111684 is about 48.1574689530.

Adding to 111684 its reverse (486111), we get a palindrome (597795).

The spelling of 111684 in words is "one hundred eleven thousand, six hundred eighty-four".