386393 has 12 divisors (see below), whose sum is σ = 471552. Its totient is φ = 310080.

The previous prime is 386383. The next prime is 386401. The reversal of 386393 is 393683.

It is a happy number.

It is not a de Polignac number, because 386393 - 2⁶ = 386329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (386303) 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, 1928 + ... + 2118.

It is an arithmetic number, because the mean of its divisors is an integer number (39296).

2³⁸⁶³⁹³ is an apocalyptic number.

It is an amenable number.

386393 is a deficient number, since it is larger than the sum of its proper divisors (85159).

386393 is a wasteful number, since it uses less digits than its factorization.

386393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 215 counting only the distinct ones).

The product of its digits is 11664, while the sum is 32.

The square root of 386393 is about 621.6051801586. The cubic root of 386393 is about 72.8354962147.

The spelling of 386393 in words is "three hundred eighty-six thousand, three hundred ninety-three".