312966 has 12 divisors (see below), whose sum is σ = 678132. Its totient is φ = 104316.

The previous prime is 312943. The next prime is 312967. The reversal of 312966 is 669213.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312967) by changing a digit.

312966 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 5 ways as a sum of consecutive naturals, for example, 8676 + ... + 8711.

It is an arithmetic number, because the mean of its divisors is an integer number (56511).

2³¹²⁹⁶⁶ is an apocalyptic number.

312966 is an abundant number, since it is smaller than the sum of its proper divisors (365166).

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

312966 is a wasteful number, since it uses less digits than its factorization.

312966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17395 (or 17392 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 312966 is about 559.4336421775. The cubic root of 312966 is about 67.8941548250.

The spelling of 312966 in words is "three hundred twelve thousand, nine hundred sixty-six".