189585 has 24 divisors (see below), whose sum is σ = 359424. Its totient is φ = 91680.

The previous prime is 189583. The next prime is 189593. The reversal of 189585 is 585981.

189585 = T₅₄ + T₅₅ + ... + T₁₀₈.

It is not a de Polignac number, because 189585 - 2¹ = 189583 is a prime.

It is not an unprimeable number, because it can be changed into a prime (189583) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304 + ... + 686.

It is an arithmetic number, because the mean of its divisors is an integer number (14976).

2¹⁸⁹⁵⁸⁵ is an apocalyptic number.

189585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

189585 is a deficient number, since it is larger than the sum of its proper divisors (169839).

189585 is a wasteful number, since it uses less digits than its factorization.

189585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 402 counting only the distinct ones).

The product of its digits is 14400, while the sum is 36.

The square root of 189585 is about 435.4135964804. The cubic root of 189585 is about 57.4470842733.

The spelling of 189585 in words is "one hundred eighty-nine thousand, five hundred eighty-five".