233713764 has 72 divisors (see below), whose sum is σ = 619295040. Its totient is φ = 74175552.

The previous prime is 233713763. The next prime is 233713769. The reversal of 233713764 is 467317332.

233713764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (233713763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228847 + ... + 229865.

It is an arithmetic number, because the mean of its divisors is an integer number (8601320).

Almost surely, 2^233713764 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 233713764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309647520).

233713764 is an abundant number, since it is smaller than the sum of its proper divisors (385581276).

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

233713764 is a wasteful number, since it uses less digits than its factorization.

233713764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1324 counting only the distinct ones).

The product of its digits is 63504, while the sum is 36.

The square root of 233713764 is about 15287.6997615730. The cubic root of 233713764 is about 615.9726508631.

The spelling of 233713764 in words is "two hundred thirty-three million, seven hundred thirteen thousand, seven hundred sixty-four".