393966 has 24 divisors (see below), whose sum is σ = 875160. Its totient is φ = 128016.

The previous prime is 393961. The next prime is 393977. The reversal of 393966 is 669393.

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

It is a self number, because there is not a number n which added to its sum of digits gives 393966.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393961) by changing a digit.

393966 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 11 ways as a sum of consecutive naturals, for example, 520 + ... + 1028.

It is an arithmetic number, because the mean of its divisors is an integer number (36465).

2³⁹³⁹⁶⁶ is an apocalyptic number.

393966 is an abundant number, since it is smaller than the sum of its proper divisors (481194).

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

393966 is a wasteful number, since it uses less digits than its factorization.

393966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 557 counting only the distinct ones).

The product of its digits is 26244, while the sum is 36.

The square root of 393966 is about 627.6671092227. The cubic root of 393966 is about 73.3082604827.

It can be divided in two parts, 3939 and 66, that added together give a triangular number (4005 = T₈₉).

The spelling of 393966 in words is "three hundred ninety-three thousand, nine hundred sixty-six".