165085 has 8 divisors (see below), whose sum is σ = 200376. Its totient is φ = 130560.

The previous prime is 165083. The next prime is 165089. The reversal of 165085 is 580561.

165085 is digitally balanced in base 2, 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 4 ways, for example, as 37636 + 127449 = 194^2 + 357^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 165085 - 2¹ = 165083 is a prime.

It is a Duffinian number.

165085 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 565 + ... + 805.

It is an arithmetic number, because the mean of its divisors is an integer number (25047).

2¹⁶⁵⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

165085 is a deficient number, since it is larger than the sum of its proper divisors (35291).

165085 is a wasteful number, since it uses less digits than its factorization.

165085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383.

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 165085 is about 406.3065345278. The cubic root of 165085 is about 54.8574822622.

The spelling of 165085 in words is "one hundred sixty-five thousand, eighty-five".