38792 has 16 divisors (see below), whose sum is σ = 78540. Its totient is φ = 17856.

The previous prime is 38791. The next prime is 38803. The reversal of 38792 is 29783.

It can be written as a sum of positive squares in 2 ways, for example, as 37636 + 1156 = 194^2 + 34^2 .

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (38791) 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, 83 + ... + 290.

2³⁸⁷⁹² is an apocalyptic number.

It is an amenable number.

38792 is an abundant number, since it is smaller than the sum of its proper divisors (39748).

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 (39270).

38792 is a wasteful number, since it uses less digits than its factorization.

38792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 388 counting only the distinct ones).

The product of its digits is 3024, while the sum is 29.

The square root of 38792 is about 196.9568480658. The cubic root of 38792 is about 33.8517187290.

Subtracting from 38792 its reverse (29783), we obtain a palindrome (9009).

The spelling of 38792 in words is "thirty-eight thousand, seven hundred ninety-two".