312004 has 24 divisors (see below), whose sum is σ = 681408. Its totient is φ = 121440.

The previous prime is 311981. The next prime is 312007. The reversal of 312004 is 400213.

312004 is nontrivially palindromic in base 16.

It is not an unprimeable number, because it can be changed into a prime (312007) by changing a digit.

312004 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199 + ... + 814.

It is an arithmetic number, because the mean of its divisors is an integer number (28392).

2³¹²⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

312004 is an abundant number, since it is smaller than the sum of its proper divisors (369404).

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

312004 is a wasteful number, since it uses less digits than its factorization.

312004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 312004 is about 558.5731823137. The cubic root of 312004 is about 67.8245187062.

Adding to 312004 its reverse (400213), we get a palindrome (712217).

Subtracting 312004 from its reverse (400213), we obtain a square (88209 = 297²).

The spelling of 312004 in words is "three hundred twelve thousand, four", and thus it is an iban number.