20382 has 16 divisors (see below), whose sum is σ = 42240. Its totient is φ = 6552.

The previous prime is 20369. The next prime is 20389. The reversal of 20382 is 28302.

It is a nialpdrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 20382.

It is not an unprimeable number, because it can be changed into a prime (20389) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219 + ... + 297.

It is an arithmetic number, because the mean of its divisors is an integer number (2640).

2²⁰³⁸² is an apocalyptic number.

20382 is an abundant number, since it is smaller than the sum of its proper divisors (21858).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21120).

20382 is a wasteful number, since it uses less digits than its factorization.

20382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 20382 is about 142.7655420611. The cubic root of 20382 is about 27.3159053420.

Adding to 20382 its reverse (28302), we get a palindrome (48684).

The spelling of 20382 in words is "twenty thousand, three hundred eighty-two".