2005233 has 8 divisors (see below), whose sum is σ = 2719200. Its totient is φ = 1314048.

The previous prime is 2005231. The next prime is 2005249. The reversal of 2005233 is 3325002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2005233 - 2¹ = 2005231 is a prime.

2005233 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2005231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5488 + ... + 5841.

It is an arithmetic number, because the mean of its divisors is an integer number (339900).

2^2005233 is an apocalyptic number.

It is an amenable number.

2005233 is a deficient number, since it is larger than the sum of its proper divisors (713967).

2005233 is a wasteful number, since it uses less digits than its factorization.

2005233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11391.

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 2005233 is about 1416.0624986207. The cubic root of 2005233 is about 126.1018954038.

The spelling of 2005233 in words is "two million, five thousand, two hundred thirty-three".