233000 has 32 divisors (see below), whose sum is σ = 547560. Its totient is φ = 92800.

The previous prime is 232987. The next prime is 233021. The reversal of 233000 is 332.

It can be written as a sum of positive squares in 4 ways, for example, as 37636 + 195364 = 194^2 + 442^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 884 + ... + 1116.

2²³³⁰⁰⁰ is an apocalyptic number.

233000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273780).

233000 is an abundant number, since it is smaller than the sum of its proper divisors (314560).

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

233000 is a wasteful number, since it uses less digits than its factorization.

233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 8.

The square root of 233000 is about 482.7007354459. The cubic root of 233000 is about 61.5344949366.

Adding to 233000 its reverse (332), we get a palindrome (233332).

The spelling of 233000 in words is "two hundred thirty-three thousand".