333966 has 8 divisors (see below), whose sum is σ = 667944. Its totient is φ = 111320.

The previous prime is 333959. The next prime is 333973. The reversal of 333966 is 669333.

333966 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (333959) and next prime (333973).

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

333966 is an admirable number.

It is a super-2 number, since 2×333966² = 223066578312, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3 + 3⁶ + 9² + 3⁸ + 6⁶ + 6⁷ .

It is a congruent number.

It is an unprimeable number.

333966 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, 27825 + ... + 27836.

It is an arithmetic number, because the mean of its divisors is an integer number (83493).

2³³³⁹⁶⁶ is an apocalyptic number.

333966 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.

333966 is a wasteful number, since it uses less digits than its factorization.

333966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55666.

The product of its digits is 8748, while the sum is 30.

The square root of 333966 is about 577.8979148604. The cubic root of 333966 is about 69.3799663679.

The spelling of 333966 in words is "three hundred thirty-three thousand, nine hundred sixty-six".