193992 has 32 divisors (see below), whose sum is σ = 496800. Its totient is φ = 63104.

The previous prime is 193979. The next prime is 193993. The reversal of 193992 is 299391.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (193993) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1348 + ... + 1484.

It is an arithmetic number, because the mean of its divisors is an integer number (15525).

2¹⁹³⁹⁹² is an apocalyptic number.

193992 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 193992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248400).

193992 is an abundant number, since it is smaller than the sum of its proper divisors (302808).

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

193992 is a wasteful number, since it uses less digits than its factorization.

193992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 201 counting only the distinct ones).

The product of its digits is 4374, while the sum is 33.

The square root of 193992 is about 440.4452292851. The cubic root of 193992 is about 57.8888079763. Note that the first 4 decimals are identical.

The spelling of 193992 in words is "one hundred ninety-three thousand, nine hundred ninety-two".