333964 has 12 divisors (see below), whose sum is σ = 604800. Its totient is φ = 161168.

The previous prime is 333959. The next prime is 333973. The reversal of 333964 is 469333.

333964 = T₇₇ + T₇₈ + ... + T₁₃₄.

333964 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×333964² = 223063906592, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1324 + ... + 1555.

It is an arithmetic number, because the mean of its divisors is an integer number (50400).

2³³³⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

333964 is a deficient number, since it is larger than the sum of its proper divisors (270836).

333964 is a wasteful number, since it uses less digits than its factorization.

333964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912 (or 2910 counting only the distinct ones).

The product of its digits is 5832, while the sum is 28.

The square root of 333964 is about 577.8961844484. The cubic root of 333964 is about 69.3798278706.

It can be divided in two parts, 3339 and 64, that added together give a triangular number (3403 = T₈₂).

The spelling of 333964 in words is "three hundred thirty-three thousand, nine hundred sixty-four".