312504 has 32 divisors (see below), whose sum is σ = 810000. Its totient is φ = 100352.

The previous prime is 312469. The next prime is 312509. The reversal of 312504 is 405213.

312504 is nontrivially palindromic in base 5.

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 312504.

It is not an unprimeable number, because it can be changed into a prime (312509) by changing a digit.

312504 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 472 + ... + 920.

2³¹²⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405000).

312504 is an abundant number, since it is smaller than the sum of its proper divisors (497496).

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

312504 is a wasteful number, since it uses less digits than its factorization.

312504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 312504 is about 559.0205720723. The cubic root of 312504 is about 67.8607299515.

Adding to 312504 its reverse (405213), we get a palindrome (717717).

It can be divided in two parts, 31250 and 4, that multiplied together give a cube (125000 = 50³).

The spelling of 312504 in words is "three hundred twelve thousand, five hundred four".