165165 has 48 divisors (see below), whose sum is σ = 357504. Its totient is φ = 63360.

The previous prime is 165161. The next prime is 165173. The reversal of 165165 is 561561.

It is not a de Polignac number, because 165165 - 2² = 165161 is a prime.

Its product of digits (900) is a multiple of the sum of its prime factors (50).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12699 + ... + 12711.

It is an arithmetic number, because the mean of its divisors is an integer number (7448).

2¹⁶⁵¹⁶⁵ is an apocalyptic number.

165165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

165165 is an abundant number, since it is smaller than the sum of its proper divisors (192339).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165165 is a wasteful number, since it uses less digits than its factorization.

165165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 39 counting only the distinct ones).

The product of its digits is 900, while the sum is 24.

The square root of 165165 is about 406.4049704420. The cubic root of 165165 is about 54.8663421220.

The spelling of 165165 in words is "one hundred sixty-five thousand, one hundred sixty-five".