233973564 has 48 divisors (see below), whose sum is σ = 601386240. Its totient is φ = 70208640.

The previous prime is 233973563. The next prime is 233973577. The reversal of 233973564 is 465379332.

233973564 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233973563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4992 + ... + 22200.

It is an arithmetic number, because the mean of its divisors is an integer number (12528880).

Almost surely, 2^233973564 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 233973564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300693120).

233973564 is an abundant number, since it is smaller than the sum of its proper divisors (367412676).

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

233973564 is a wasteful number, since it uses less digits than its factorization.

233973564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17330 (or 17328 counting only the distinct ones).

The product of its digits is 408240, while the sum is 42.

The square root of 233973564 is about 15296.1944286806. The cubic root of 233973564 is about 616.2008080633.

The spelling of 233973564 in words is "two hundred thirty-three million, nine hundred seventy-three thousand, five hundred sixty-four".