392385 has 32 divisors (see below), whose sum is σ = 744192. Its totient is φ = 172800.

The previous prime is 392383. The next prime is 392389. The reversal of 392385 is 583293.

It is a happy number.

It is not a de Polignac number, because 392385 - 2¹ = 392383 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 392385.

It is not an unprimeable number, because it can be changed into a prime (392383) 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 31 ways as a sum of consecutive naturals, for example, 3835 + ... + 3935.

It is an arithmetic number, because the mean of its divisors is an integer number (23256).

2³⁹²³⁸⁵ is an apocalyptic number.

392385 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

392385 is a deficient number, since it is larger than the sum of its proper divisors (351807).

392385 is a wasteful number, since it uses less digits than its factorization.

392385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153.

The product of its digits is 6480, while the sum is 30.

The square root of 392385 is about 626.4064175916. The cubic root of 392385 is about 73.2100661005.

It can be divided in two parts, 392 and 385, that added together give a palindrome (777).

The spelling of 392385 in words is "three hundred ninety-two thousand, three hundred eighty-five".