312788 has 12 divisors (see below), whose sum is σ = 625632. Its totient is φ = 134040.

The previous prime is 312779. The next prime is 312799. The reversal of 312788 is 887213.

312788 is an admirable number.

It is a self number, because there is not a number n which added to its sum of digits gives 312788.

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 312788.

It is an unprimeable number.

312788 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 3 ways as a sum of consecutive naturals, for example, 5558 + ... + 5613.

It is an arithmetic number, because the mean of its divisors is an integer number (52136).

2³¹²⁷⁸⁸ is an apocalyptic number.

It is an amenable number.

312788 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

312788 is a wasteful number, since it uses less digits than its factorization.

312788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11182 (or 11180 counting only the distinct ones).

The product of its digits is 2688, while the sum is 29.

The square root of 312788 is about 559.2745300834. The cubic root of 312788 is about 67.8812807413.

The spelling of 312788 in words is "three hundred twelve thousand, seven hundred eighty-eight".