165853 has 4 divisors (see below), whose sum is σ = 173088. Its totient is φ = 158620.

The previous prime is 165833. The next prime is 165857. The reversal of 165853 is 358561.

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 165853 - 2¹⁷ = 34781 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3583 + ... + 3628.

It is an arithmetic number, because the mean of its divisors is an integer number (43272).

2¹⁶⁵⁸⁵³ is an apocalyptic number.

It is an amenable number.

165853 is a deficient number, since it is larger than the sum of its proper divisors (7235).

165853 is an equidigital number, since it uses as much as digits as its factorization.

165853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7234.

The product of its digits is 3600, while the sum is 28.

The square root of 165853 is about 407.2505371390. The cubic root of 165853 is about 54.9424190769.

It can be divided in two parts, 1658 and 53, that added together give a triangular number (1711 = T₅₈).

The spelling of 165853 in words is "one hundred sixty-five thousand, eight hundred fifty-three".