206382 has 32 divisors (see below), whose sum is σ = 466560. Its totient is φ = 60320.

The previous prime is 206369. The next prime is 206383. The reversal of 206382 is 283602.

206382 is nontrivially palindromic in base 13.

206382 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206383) by changing a digit.

206382 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 15 ways as a sum of consecutive naturals, for example, 3469 + ... + 3527.

It is an arithmetic number, because the mean of its divisors is an integer number (14580).

2²⁰⁶³⁸² is an apocalyptic number.

206382 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 206382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233280).

206382 is an abundant number, since it is smaller than the sum of its proper divisors (260178).

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

206382 is a wasteful number, since it uses less digits than its factorization.

206382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 206382 is about 454.2928570867. The cubic root of 206382 is about 59.0958892701.

Adding to 206382 its sum of digits (21), we get a triangular number (206403 = T₆₄₂).

Adding to 206382 its reverse (283602), we get a palindrome (489984).

It can be divided in two parts, 2063 and 82, that added together give a triangular number (2145 = T₆₅).

The spelling of 206382 in words is "two hundred six thousand, three hundred eighty-two".