333564 has 72 divisors (see below), whose sum is σ = 1024128. Its totient is φ = 82080.

The previous prime is 333563. The next prime is 333581. The reversal of 333564 is 465333.

It is a super-2 number, since 2×333564² = 222529884192, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

333564 is a Rhonda number in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (333563) 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 23 ways as a sum of consecutive naturals, for example, 17547 + ... + 17565.

It is an arithmetic number, because the mean of its divisors is an integer number (14224).

2³³³⁵⁶⁴ 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 333564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512064).

333564 is an abundant number, since it is smaller than the sum of its proper divisors (690564).

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

333564 is a wasteful number, since it uses less digits than its factorization.

333564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 42 counting only the distinct ones).

The product of its digits is 3240, while the sum is 24.

The square root of 333564 is about 577.5499978357. The cubic root of 333564 is about 69.3521172807.

Adding to 333564 its reverse (465333), we get a palindrome (798897).

Subtracting 333564 from its reverse (465333), we obtain a square (131769 = 363²).

The spelling of 333564 in words is "three hundred thirty-three thousand, five hundred sixty-four".