201852 has 60 divisors (see below), whose sum is σ = 609840. Its totient is φ = 57024.

The previous prime is 201847. The next prime is 201881. The reversal of 201852 is 258102.

201852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2224 + ... + 2312.

It is an arithmetic number, because the mean of its divisors is an integer number (10164).

201852 is a Friedman number, since it can be written as 801*252, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 252 ⋅ 801 (with its own digits).

2²⁰¹⁸⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304920).

201852 is an abundant number, since it is smaller than the sum of its proper divisors (407988).

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

201852 is a wasteful number, since it uses less digits than its factorization.

201852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 201852 is about 449.2794230766. The cubic root of 201852 is about 58.6603098025.

Adding to 201852 its reverse (258102), we get a palindrome (459954).

The spelling of 201852 in words is "two hundred one thousand, eight hundred fifty-two".