313966 has 8 divisors (see below), whose sum is σ = 474120. Its totient is φ = 155928.

The previous prime is 313961. The next prime is 313969. The reversal of 313966 is 669313.

313966 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a d-powerful number, because it can be written as 3⁸ + 1 + 9 + 3⁹ + 6⁵ + 6⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81 + ... + 796.

It is an arithmetic number, because the mean of its divisors is an integer number (59265).

2³¹³⁹⁶⁶ is an apocalyptic number.

313966 is a deficient number, since it is larger than the sum of its proper divisors (160154).

313966 is a wasteful number, since it uses less digits than its factorization.

313966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058.

The product of its digits is 2916, while the sum is 28.

The square root of 313966 is about 560.3266904226. The cubic root of 313966 is about 67.9663905421.

The spelling of 313966 in words is "three hundred thirteen thousand, nine hundred sixty-six".