189873 has 18 divisors (see below), whose sum is σ = 295334. Its totient is φ = 117504.

The previous prime is 189859. The next prime is 189877. The reversal of 189873 is 378981.

189873 is digitally balanced in base 7, 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 82944 + 106929 = 288^2 + 327^2 .

It is not a de Polignac number, because 189873 - 2⁸ = 189617 is a prime.

It is a super-2 number, since 2×189873² = 72103512258, which contains 22 as substring.

It is a Duffinian number.

189873 is strictly pandigital in base 7.

189873 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (189877) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2565 + ... + 2637.

2¹⁸⁹⁸⁷³ is an apocalyptic number.

It is an amenable number.

189873 is a deficient number, since it is larger than the sum of its proper divisors (105461).

189873 is a wasteful number, since it uses less digits than its factorization.

189873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 93 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 189873 is about 435.7441910112. The cubic root of 189873 is about 57.4761589883.

The spelling of 189873 in words is "one hundred eighty-nine thousand, eight hundred seventy-three".