189329 has 16 divisors (see below), whose sum is σ = 240768. Its totient is φ = 145152.

The previous prime is 189311. The next prime is 189337. The reversal of 189329 is 923981.

189329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 189329 - 2¹² = 185233 is a prime.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 189295 and 189304.

It is not an unprimeable number, because it can be changed into a prime (189349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4382 + ... + 4424.

It is an arithmetic number, because the mean of its divisors is an integer number (15048).

2¹⁸⁹³²⁹ is an apocalyptic number.

It is an amenable number.

189329 is a deficient number, since it is larger than the sum of its proper divisors (51439).

189329 is a wasteful number, since it uses less digits than its factorization.

189329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104.

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

The square root of 189329 is about 435.1195238093. The cubic root of 189329 is about 57.4212153525.

The spelling of 189329 in words is "one hundred eighty-nine thousand, three hundred twenty-nine".