312858 has 48 divisors (see below), whose sum is σ = 838656. Its totient is φ = 82080.

The previous prime is 312857. The next prime is 312863. The reversal of 312858 is 858213.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (312857) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1543 + ... + 1733.

It is an arithmetic number, because the mean of its divisors is an integer number (17472).

2³¹²⁸⁵⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312858, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419328).

312858 is an abundant number, since it is smaller than the sum of its proper divisors (525798).

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

312858 is a wasteful number, since it uses less digits than its factorization.

312858 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 216 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 312858 is about 559.3371076551. The cubic root of 312858 is about 67.8863441658.

The spelling of 312858 in words is "three hundred twelve thousand, eight hundred fifty-eight".