206052 has 48 divisors (see below), whose sum is σ = 602112. Its totient is φ = 53280.

The previous prime is 206051. The next prime is 206069. The reversal of 206052 is 250602.

It is not an unprimeable number, because it can be changed into a prime (206051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 813 + ... + 1035.

It is an arithmetic number, because the mean of its divisors is an integer number (12544).

2²⁰⁶⁰⁵² is an apocalyptic number.

206052 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301056).

206052 is an abundant number, since it is smaller than the sum of its proper divisors (396060).

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

206052 is a wasteful number, since it uses less digits than its factorization.

206052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 206052 is about 453.9295099462. The cubic root of 206052 is about 59.0643748180.

Adding to 206052 its reverse (250602), we get a palindrome (456654).

It can be divided in two parts, 2060 and 52, that added together give a palindrome (2112).

The spelling of 206052 in words is "two hundred six thousand, fifty-two".