189321 has 8 divisors (see below), whose sum is σ = 275424. Its totient is φ = 114720.

The previous prime is 189311. The next prime is 189337. The reversal of 189321 is 123981.

189321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 189321 - 2⁶ = 189257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 189291 and 189300.

It is not an unprimeable number, because it can be changed into a prime (189311) 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, 2836 + ... + 2901.

It is an arithmetic number, because the mean of its divisors is an integer number (34428).

2¹⁸⁹³²¹ is an apocalyptic number.

189321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

189321 is a deficient number, since it is larger than the sum of its proper divisors (86103).

189321 is a wasteful number, since it uses less digits than its factorization.

189321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5751.

The product of its digits is 432, while the sum is 24.

The square root of 189321 is about 435.1103308358. The cubic root of 189321 is about 57.4204065731.

It can be divided in two parts, 18 and 9321, that added together give a palindrome (9339).

The spelling of 189321 in words is "one hundred eighty-nine thousand, three hundred twenty-one".