312066 has 16 divisors (see below), whose sum is σ = 693600. Its totient is φ = 104004.

The previous prime is 312047. The next prime is 312071. The reversal of 312066 is 660213.

It is a happy number.

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

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 312066.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2836 + ... + 2943.

It is an arithmetic number, because the mean of its divisors is an integer number (43350).

2³¹²⁰⁶⁶ is an apocalyptic number.

312066 is an abundant number, since it is smaller than the sum of its proper divisors (381534).

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

312066 is a wasteful number, since it uses less digits than its factorization.

312066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5790 (or 5784 counting only the distinct ones).

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

The square root of 312066 is about 558.6286781038. The cubic root of 312066 is about 67.8290110008.

Adding to 312066 its reverse (660213), we get a palindrome (972279).

It can be divided in two parts, 31 and 2066, that multiplied together give a palindrome (64046).

The spelling of 312066 in words is "three hundred twelve thousand, sixty-six".