312306 has 8 divisors (see below), whose sum is σ = 624624. Its totient is φ = 104100.

The previous prime is 312289. The next prime is 312311. The reversal of 312306 is 603213.

It is a sphenic number, since it is the product of 3 distinct primes.

312306 is an admirable number.

It is an unprimeable number.

312306 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, 26020 + ... + 26031.

It is an arithmetic number, because the mean of its divisors is an integer number (78078).

2³¹²³⁰⁶ is an apocalyptic number.

312306 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.

312306 is a wasteful number, since it uses less digits than its factorization.

312306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52056.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 312306 is about 558.8434485614. The cubic root of 312306 is about 67.8463949209.

Adding to 312306 its reverse (603213), we get a palindrome (915519).

The spelling of 312306 in words is "three hundred twelve thousand, three hundred six".