312606 has 32 divisors (see below), whose sum is σ = 794880. Its totient is φ = 89208.

The previous prime is 312601. The next prime is 312617. The reversal of 312606 is 606213.

It is a happy number.

312606 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×312606² = 195445022472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312601) by changing a digit.

312606 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 15 ways as a sum of consecutive naturals, for example, 36 + ... + 791.

It is an arithmetic number, because the mean of its divisors is an integer number (24840).

2³¹²⁶⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397440).

312606 is an abundant number, since it is smaller than the sum of its proper divisors (482274).

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

312606 is a wasteful number, since it uses less digits than its factorization.

312606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 312606 is about 559.1117956187. Note that the first 3 decimals coincide. The cubic root of 312606 is about 67.8681123013.

Adding to 312606 its reverse (606213), we get a palindrome (918819).

The spelling of 312606 in words is "three hundred twelve thousand, six hundred six".