38692 has 12 divisors (see below), whose sum is σ = 71820. Its totient is φ = 18176.

The previous prime is 38677. The next prime is 38693. The reversal of 38692 is 29683.

It can be written as a sum of positive squares in 2 ways, for example, as 17956 + 20736 = 134^2 + 144^2 .

It is a plaindrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 38692.

It is not an unprimeable number, because it can be changed into a prime (38693) 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, 217 + ... + 352.

It is an arithmetic number, because the mean of its divisors is an integer number (5985).

2³⁸⁶⁹² is an apocalyptic number.

It is an amenable number.

38692 is a deficient number, since it is larger than the sum of its proper divisors (33128).

38692 is a wasteful number, since it uses less digits than its factorization.

38692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 588 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

The square root of 38692 is about 196.7028215354. The cubic root of 38692 is about 33.8226054679.

Subtracting from 38692 its product of digits (2592), we obtain a square (36100 = 190²).

Subtracting from 38692 its reverse (29683), we obtain a palindrome (9009).

The spelling of 38692 in words is "thirty-eight thousand, six hundred ninety-two".