193112 has 16 divisors (see below), whose sum is σ = 367200. Its totient is φ = 95200.

The previous prime is 193093. The next prime is 193133. The reversal of 193112 is 211391.

It is a happy number.

193112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 193112.

It is an unprimeable number.

193112 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 3 ways as a sum of consecutive naturals, for example, 689 + ... + 927.

It is an arithmetic number, because the mean of its divisors is an integer number (22950).

2¹⁹³¹¹² is an apocalyptic number.

It is an amenable number.

193112 is a deficient number, since it is larger than the sum of its proper divisors (174088).

193112 is a wasteful number, since it uses less digits than its factorization.

193112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 342 counting only the distinct ones).

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

The square root of 193112 is about 439.4451046490. The cubic root of 193112 is about 57.8011422051.

The spelling of 193112 in words is "one hundred ninety-three thousand, one hundred twelve".