165193 has 4 divisors (see below), whose sum is σ = 188800. Its totient is φ = 141588.

The previous prime is 165181. The next prime is 165203. The reversal of 165193 is 391561.

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 a cyclic number.

It is not a de Polignac number, because 165193 - 2⁵ = 165161 is a prime.

It is a Duffinian number.

165193 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11793 + ... + 11806.

It is an arithmetic number, because the mean of its divisors is an integer number (47200).

2¹⁶⁵¹⁹³ is an apocalyptic number.

It is an amenable number.

165193 is a deficient number, since it is larger than the sum of its proper divisors (23607).

165193 is an equidigital number, since it uses as much as digits as its factorization.

165193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23606.

The product of its digits is 810, while the sum is 25.

The square root of 165193 is about 406.4394173798. The cubic root of 165193 is about 54.8694423970.

The spelling of 165193 in words is "one hundred sixty-five thousand, one hundred ninety-three".