333804 has 12 divisors (see below), whose sum is σ = 778904. Its totient is φ = 111264.

The previous prime is 333803. The next prime is 333821. The reversal of 333804 is 408333.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×333804² = 222850220832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (333803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13897 + ... + 13920.

2³³³⁸⁰⁴ is an apocalyptic number.

It is an amenable number.

333804 is an abundant number, since it is smaller than the sum of its proper divisors (445100).

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

333804 is a wasteful number, since it uses less digits than its factorization.

333804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27824 (or 27822 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 333804 is about 577.7577346951. The cubic root of 333804 is about 69.3687462912.

Subtracting 333804 from its reverse (408333), we obtain a square (74529 = 273²).

The spelling of 333804 in words is "three hundred thirty-three thousand, eight hundred four".