38292 has 12 divisors (see below), whose sum is σ = 89376. Its totient is φ = 12760.

The previous prime is 38287. The next prime is 38299. The reversal of 38292 is 29283.

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 13.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1584 + ... + 1607.

It is an arithmetic number, because the mean of its divisors is an integer number (7448).

2³⁸²⁹² is an apocalyptic number.

It is an amenable number.

38292 is an abundant number, since it is smaller than the sum of its proper divisors (51084).

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 (44688).

38292 is a wasteful number, since it uses less digits than its factorization.

38292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3198 (or 3196 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 38292 is about 195.6834177952. The cubic root of 38292 is about 33.7056481888.

Subtracting from 38292 its reverse (29283), we obtain a palindrome (9009).

It can be divided in two parts, 382 and 92, that added together give a palindrome (474).

The spelling of 38292 in words is "thirty-eight thousand, two hundred ninety-two".