333704 has 32 divisors (see below), whose sum is σ = 734400. Its totient is φ = 139200.

The previous prime is 333701. The next prime is 333713. The reversal of 333704 is 407333.

It is a super-2 number, since 2×333704² = 222716719232, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 333704.

It is not an unprimeable number, because it can be changed into a prime (333701) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3254 + ... + 3354.

It is an arithmetic number, because the mean of its divisors is an integer number (22950).

2³³³⁷⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 333704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367200).

333704 is an abundant number, since it is smaller than the sum of its proper divisors (400696).

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

333704 is a wasteful number, since it uses less digits than its factorization.

333704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 20.

The square root of 333704 is about 577.6711867490. The cubic root of 333704 is about 69.3618185058.

It can be divided in two parts, 333 and 704, that multiplied together give a palindrome (234432).

The spelling of 333704 in words is "three hundred thirty-three thousand, seven hundred four".