303966 has 32 divisors (see below), whose sum is σ = 729120. Its totient is φ = 93312.

The previous prime is 303959. The next prime is 303983. The reversal of 303966 is 669303.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

303966 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 15 ways as a sum of consecutive naturals, for example, 486 + ... + 918.

It is an arithmetic number, because the mean of its divisors is an integer number (22785).

2³⁰³⁹⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 303966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364560).

303966 is an abundant number, since it is smaller than the sum of its proper divisors (425154).

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

303966 is a wasteful number, since it uses less digits than its factorization.

303966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 303966 is about 551.3311164808. The cubic root of 303966 is about 67.2370013065.

The spelling of 303966 in words is "three hundred three thousand, nine hundred sixty-six".