312324 has 24 divisors (see below), whose sum is σ = 772128. Its totient is φ = 97920.

The previous prime is 312313. The next prime is 312331. The reversal of 312324 is 423213.

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

312324 is a modest number, since divided by 324 gives 312 as remainder.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 312324.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 562 + ... + 969.

It is an arithmetic number, because the mean of its divisors is an integer number (32172).

2³¹²³²⁴ is an apocalyptic number.

312324 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

312324 is an abundant number, since it is smaller than the sum of its proper divisors (459804).

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

312324 is a wasteful number, since it uses less digits than its factorization.

312324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1553 counting only the distinct ones).

The product of its digits is 144, while the sum is 15.

The square root of 312324 is about 558.8595530185. The cubic root of 312324 is about 67.8476983558.

Adding to 312324 its reverse (423213), we get a palindrome (735537).

Subtracting 312324 from its reverse (423213), we obtain a square (110889 = 333²).

It can be divided in two parts, 312 and 324, that added together give a palindrome (636).

The spelling of 312324 in words is "three hundred twelve thousand, three hundred twenty-four", and thus it is an iban number.