312384 has 28 divisors (see below), whose sum is σ = 827024. Its totient is φ = 104064.

The previous prime is 312383. The next prime is 312397. The reversal of 312384 is 483213.

It is a happy number.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 312384.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 312384.

It is not an unprimeable number, because it can be changed into a prime (312383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 622 + ... + 1005.

2³¹²³⁸⁴ is an apocalyptic number.

It is an amenable number.

312384 is an abundant number, since it is smaller than the sum of its proper divisors (514640).

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

312384 is a wasteful number, since it uses less digits than its factorization.

312384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1632 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 312384 is about 558.9132311907. The cubic root of 312384 is about 67.8520427772.

Adding to 312384 its reverse (483213), we get a palindrome (795597).

It can be divided in two parts, 312 and 384, that added together give a palindrome (696).

The spelling of 312384 in words is "three hundred twelve thousand, three hundred eighty-four".