312687 has 16 divisors (see below), whose sum is σ = 477280. Its totient is φ = 202176.

The previous prime is 312679. The next prime is 312701. The reversal of 312687 is 786213.

It is not a de Polignac number, because 312687 - 2³ = 312679 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 312687.

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 312687.

It is not an unprimeable number, because it can be changed into a prime (312617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 843 + ... + 1155.

It is an arithmetic number, because the mean of its divisors is an integer number (29830).

2³¹²⁶⁸⁷ is an apocalyptic number.

312687 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

312687 is a deficient number, since it is larger than the sum of its proper divisors (164593).

312687 is a wasteful number, since it uses less digits than its factorization.

312687 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 353 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 312687 is about 559.1842272454. The cubic root of 312687 is about 67.8739736117.

It can be divided in two parts, 312 and 687, that added together give a palindrome (999).

The spelling of 312687 in words is "three hundred twelve thousand, six hundred eighty-seven".