386892 has 36 divisors (see below), whose sum is σ = 1067976. Its totient is φ = 117120.

The previous prime is 386891. The next prime is 386921. The reversal of 386892 is 298683.

386892 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (386891) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 93 + ... + 884.

It is an arithmetic number, because the mean of its divisors is an integer number (29666).

2³⁸⁶⁸⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 386892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533988).

386892 is an abundant number, since it is smaller than the sum of its proper divisors (681084).

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

386892 is a wasteful number, since it uses less digits than its factorization.

386892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 993 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 386892 is about 622.0064308349. The cubic root of 386892 is about 72.8668367395.

Subtracting from 386892 its reverse (298683), we obtain a square (88209 = 297²).

The spelling of 386892 in words is "three hundred eighty-six thousand, eight hundred ninety-two".