165585 has 32 divisors (see below), whose sum is σ = 322560. Its totient is φ = 70848.

The previous prime is 165569. The next prime is 165587. The reversal of 165585 is 585561.

165585 = T₂₁₄ + T₂₁₅ + ... + T₂₂₀.

It is a happy number.

It is not a de Polignac number, because 165585 - 2⁴ = 165569 is a prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 165585.

It is not an unprimeable number, because it can be changed into a prime (165587) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1954 + ... + 2036.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2¹⁶⁵⁵⁸⁵ is an apocalyptic number.

165585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

165585 is a deficient number, since it is larger than the sum of its proper divisors (156975).

165585 is a wasteful number, since it uses less digits than its factorization.

165585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117.

The product of its digits is 6000, while the sum is 30.

The square root of 165585 is about 406.9213683256. The cubic root of 165585 is about 54.9128095100.

The spelling of 165585 in words is "one hundred sixty-five thousand, five hundred eighty-five".