233008 has 10 divisors (see below), whose sum is σ = 451484. Its totient is φ = 116496.

The previous prime is 232987. The next prime is 233021. The reversal of 233008 is 800332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16), and also a Moran number because the ratio is a prime number: 14563 = 233008 / (2 + 3 + 3 + 0 + 0 + 8).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 232982 and 233000.

It is an unprimeable number.

233008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7266 + ... + 7297.

2²³³⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

233008 is a deficient number, since it is larger than the sum of its proper divisors (218476).

233008 is a wasteful number, since it uses less digits than its factorization.

233008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14571 (or 14565 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 233008 is about 482.7090220827. The cubic root of 233008 is about 61.5351991860.

The spelling of 233008 in words is "two hundred thirty-three thousand, eight".