165873 has 4 divisors (see below), whose sum is σ = 221168. Its totient is φ = 110580.

The previous prime is 165857. The next prime is 165877. The reversal of 165873 is 378561.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 165873 - 2⁴ = 165857 is a prime.

It is a D-number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 165873.

It is not an unprimeable number, because it can be changed into a prime (165877) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27643 + ... + 27648.

It is an arithmetic number, because the mean of its divisors is an integer number (55292).

2¹⁶⁵⁸⁷³ is an apocalyptic number.

It is an amenable number.

165873 is a deficient number, since it is larger than the sum of its proper divisors (55295).

165873 is an equidigital number, since it uses as much as digits as its factorization.

165873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55294.

The product of its digits is 5040, while the sum is 30.

The square root of 165873 is about 407.2750913081. The cubic root of 165873 is about 54.9446274667.

The spelling of 165873 in words is "one hundred sixty-five thousand, eight hundred seventy-three".