38082 has 16 divisors (see below), whose sum is σ = 83232. Its totient is φ = 11520.

The previous prime is 38069. The next prime is 38083. The reversal of 38082 is 28083.

It is a plaindrome in base 13.

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38082.

It is not an unprimeable number, because it can be changed into a prime (38083) by changing a digit.

38082 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 7 ways as a sum of consecutive naturals, for example, 223 + ... + 354.

It is an arithmetic number, because the mean of its divisors is an integer number (5202).

2³⁸⁰⁸² is an apocalyptic number.

38082 is an abundant number, since it is smaller than the sum of its proper divisors (45150).

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 (41616).

38082 is a wasteful number, since it uses less digits than its factorization.

38082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 38082 is about 195.1460991155. The cubic root of 38082 is about 33.6439193244.

Subtracting from 38082 its reverse (28083), we obtain a palindrome (9999).

The spelling of 38082 in words is "thirty-eight thousand, eighty-two".