233002 has 32 divisors (see below), whose sum is σ = 466560. Its totient is φ = 84480.

The previous prime is 232987. The next prime is 233021. The reversal of 233002 is 200332.

233002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 233002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2574 + ... + 2662.

It is an arithmetic number, because the mean of its divisors is an integer number (14580).

2²³³⁰⁰² is an apocalyptic number.

233002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

233002 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

233002 is a wasteful number, since it uses less digits than its factorization.

233002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126.

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 233002 is about 482.7028071184. The cubic root of 233002 is about 61.5346710005.

Adding to 233002 its reverse (200332), we get a palindrome (433334).

It can be divided in two parts, 23 and 3002, that added together give a square (3025 = 55²).

The spelling of 233002 in words is "two hundred thirty-three thousand, two".