189392 has 40 divisors (see below), whose sum is σ = 446400. Its totient is φ = 76032.

The previous prime is 189391. The next prime is 189401. The reversal of 189392 is 293981.

189392 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 not an unprimeable number, because it can be changed into a prime (189391) 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, 2084 + ... + 2172.

It is an arithmetic number, because the mean of its divisors is an integer number (11160).

2¹⁸⁹³⁹² 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 189392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223200).

189392 is an abundant number, since it is smaller than the sum of its proper divisors (257008).

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

189392 is a wasteful number, since it uses less digits than its factorization.

189392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 117 counting only the distinct ones).

The product of its digits is 3888, while the sum is 32.

The square root of 189392 is about 435.1919116895. The cubic root of 189392 is about 57.4275836944.

It can be divided in two parts, 189 and 392, that multiplied together give a cube (74088 = 42³).

The spelling of 189392 in words is "one hundred eighty-nine thousand, three hundred ninety-two".