189954 has 24 divisors (see below), whose sum is σ = 420732. Its totient is φ = 61920.

The previous prime is 189949. The next prime is 189961. The reversal of 189954 is 459981.

It can be written as a sum of positive squares in 2 ways, for example, as 189225 + 729 = 435^2 + 27^2 .

It is a Curzon number.

It is an unprimeable 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 11 ways as a sum of consecutive naturals, for example, 1012 + ... + 1184.

2¹⁸⁹⁹⁵⁴ is an apocalyptic number.

189954 is an abundant number, since it is smaller than the sum of its proper divisors (230778).

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

189954 is a wasteful number, since it uses less digits than its factorization.

189954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 239 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 189954 is about 435.8371255412. The cubic root of 189954 is about 57.4843309542.

It can be divided in two parts, 1899 and 54, that added together give a triangular number (1953 = T₆₂).

The spelling of 189954 in words is "one hundred eighty-nine thousand, nine hundred fifty-four".