189956 has 18 divisors (see below), whose sum is σ = 361242. Its totient is φ = 87360.

The previous prime is 189949. The next prime is 189961. The reversal of 189956 is 659981.

189956 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1600 + 188356 = 40^2 + 434^2 .

It is an unprimeable number.

189956 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 536 + ... + 816.

It is an arithmetic number, because the mean of its divisors is an integer number (20069).

2¹⁸⁹⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

189956 is a deficient number, since it is larger than the sum of its proper divisors (171286).

189956 is a wasteful number, since it uses less digits than its factorization.

189956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 296 counting only the distinct ones).

The product of its digits is 19440, while the sum is 38.

The square root of 189956 is about 435.8394199702. The cubic root of 189956 is about 57.4845327017.

The spelling of 189956 in words is "one hundred eighty-nine thousand, nine hundred fifty-six".