193392 has 60 divisors (see below), whose sum is σ = 580320. Its totient is φ = 59904.

The previous prime is 193387. The next prime is 193393. The reversal of 193392 is 293391.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193393) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2409 + ... + 2487.

It is an arithmetic number, because the mean of its divisors is an integer number (9672).

2¹⁹³³⁹² is an apocalyptic number.

193392 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 193392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290160).

193392 is an abundant number, since it is smaller than the sum of its proper divisors (386928).

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

193392 is a wasteful number, since it uses less digits than its factorization.

193392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 101 counting only the distinct ones).

The product of its digits is 1458, while the sum is 27.

The square root of 193392 is about 439.7635728434. The cubic root of 193392 is about 57.8290646958.

Subtracting 193392 from its reverse (293391), we obtain a palindrome (99999).

It can be divided in two parts, 1933 and 92, that added together give a square (2025 = 45²).

The spelling of 193392 in words is "one hundred ninety-three thousand, three hundred ninety-two".