233964 has 36 divisors (see below), whose sum is σ = 606424. Its totient is φ = 76032.

The previous prime is 233941. The next prime is 233969. The reversal of 233964 is 469332.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (233969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2364 + ... + 2460.

2²³³⁹⁶⁴ 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 233964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303212).

233964 is an abundant number, since it is smaller than the sum of its proper divisors (372460).

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

233964 is a wasteful number, since it uses less digits than its factorization.

233964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 169 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 233964 is about 483.6982530463. The cubic root of 233964 is about 61.6192411923.

The spelling of 233964 in words is "two hundred thirty-three thousand, nine hundred sixty-four".