386792 has 16 divisors (see below), whose sum is σ = 828960. Its totient is φ = 165744.

The previous prime is 386777. The next prime is 386809. The reversal of 386792 is 297683.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 11.

It is an unprimeable number.

386792 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3398 + ... + 3509.

It is an arithmetic number, because the mean of its divisors is an integer number (51810).

2³⁸⁶⁷⁹² is an apocalyptic number.

It is an amenable number.

386792 is an abundant number, since it is smaller than the sum of its proper divisors (442168).

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

386792 is a wasteful number, since it uses less digits than its factorization.

386792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6920 (or 6916 counting only the distinct ones).

The product of its digits is 18144, while the sum is 35.

The square root of 386792 is about 621.9260406190. The cubic root of 386792 is about 72.8605582332.

The spelling of 386792 in words is "three hundred eighty-six thousand, seven hundred ninety-two".