312288 has 24 divisors (see below), whose sum is σ = 820008. Its totient is φ = 104064.

The previous prime is 312283. The next prime is 312289. The reversal of 312288 is 882213.

312288 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

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 312288.

It is not an unprimeable number, because it can be changed into a prime (312281) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1531 + ... + 1722.

It is an arithmetic number, because the mean of its divisors is an integer number (34167).

2³¹²²⁸⁸ is an apocalyptic number.

It is an amenable number.

312288 is an abundant number, since it is smaller than the sum of its proper divisors (507720).

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

312288 is a wasteful number, since it uses less digits than its factorization.

312288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3266 (or 3258 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 312288 is about 558.8273436402. The cubic root of 312288 is about 67.8450914358.

It can be divided in two parts, 3 and 12288, that multiplied together give a square (36864 = 192²).

The spelling of 312288 in words is "three hundred twelve thousand, two hundred eighty-eight".