165852 has 36 divisors (see below), whose sum is σ = 445536. Its totient is φ = 51840.

The previous prime is 165833. The next prime is 165857. The reversal of 165852 is 258561.

165852 is a `hidden beast` number, since 1 + 658 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

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

165852 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 477 + ... + 747.

It is an arithmetic number, because the mean of its divisors is an integer number (12376).

2¹⁶⁵⁸⁵² is an apocalyptic number.

165852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

165852 is the 204-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222768).

165852 is an abundant number, since it is smaller than the sum of its proper divisors (279684).

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

165852 is a wasteful number, since it uses less digits than its factorization.

165852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 293 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 165852 is about 407.2493093917. The cubic root of 165852 is about 54.9423086528.

The spelling of 165852 in words is "one hundred sixty-five thousand, eight hundred fifty-two".