173889 has 9 divisors (see below), whose sum is σ = 252993. Its totient is φ = 115092.

The previous prime is 173867. The next prime is 173891. The reversal of 173889 is 988371.

173889 = T₄₁₆ + T₄₁₇.

The square root of 173889 is 417.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 173889 - 2¹⁵ = 141121 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (173819) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1182 + ... + 1320.

2¹⁷³⁸⁸⁹ is an apocalyptic number.

173889 is the 417-th square number.

173889 is the 209-th centered octagonal number.

It is an amenable number.

173889 is a deficient number, since it is larger than the sum of its proper divisors (79104).

173889 is an equidigital number, since it uses as much as digits as its factorization.

173889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 142 counting only the distinct ones).

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

The cubic root of 173889 is about 55.8158277835.

Multiplying 173889 by its sum of digits (36), we get a square (6260004 = 2502²).

The spelling of 173889 in words is "one hundred seventy-three thousand, eight hundred eighty-nine".