111392 has 18 divisors (see below), whose sum is σ = 223083. Its totient is φ = 54752.

The previous prime is 111373. The next prime is 111409. The reversal of 111392 is 293111.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 55696 + 55696 = 236^2 + 236^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=236.

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 111392.

It is an unprimeable number.

111392 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 2 ways as a sum of consecutive naturals, for example, 1859 + ... + 1917.

2¹¹¹³⁹² 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 111392

111392 is an abundant number, since it is smaller than the sum of its proper divisors (111691).

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

111392 is an frugal number, since it uses more digits than its factorization.

111392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 61 counting only the distinct ones).

The product of its digits is 54, while the sum is 17.

The square root of 111392 is about 333.7544007201. The cubic root of 111392 is about 48.1154627753.

The spelling of 111392 in words is "one hundred eleven thousand, three hundred ninety-two".