189205 has 8 divisors (see below), whose sum is σ = 230400. Its totient is φ = 149136.

The previous prime is 189199. The next prime is 189223. The reversal of 189205 is 502981.

189205 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 a cyclic number.

It is not a de Polignac number, because 189205 - 2⁹ = 188693 is a prime.

189205 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 189205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156 + ... + 634.

It is an arithmetic number, because the mean of its divisors is an integer number (28800).

2¹⁸⁹²⁰⁵ is an apocalyptic number.

It is an amenable number.

189205 is a deficient number, since it is larger than the sum of its proper divisors (41195).

189205 is an equidigital number, since it uses as much as digits as its factorization.

189205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563.

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 189205 is about 434.9770108868. The cubic root of 189205 is about 57.4086767104.

The spelling of 189205 in words is "one hundred eighty-nine thousand, two hundred five".