217233 has 6 divisors (see below), whose sum is σ = 313794. Its totient is φ = 144816.

The previous prime is 217229. The next prime is 217241. The reversal of 217233 is 332712.

It can be written as a sum of positive squares in only one way, i.e., 199809 + 17424 = 447^2 + 132^2 .

It is not a de Polignac number, because 217233 - 2² = 217229 is a prime.

It is not an unprimeable number, because it can be changed into a prime (217223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12060 + ... + 12077.

It is an arithmetic number, because the mean of its divisors is an integer number (52299).

2²¹⁷²³³ is an apocalyptic number.

It is an amenable number.

217233 is a deficient number, since it is larger than the sum of its proper divisors (96561).

217233 is a wasteful number, since it uses less digits than its factorization.

217233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24143 (or 24140 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 217233 is about 466.0826107033. The cubic root of 217233 is about 60.1139501192.

Adding to 217233 its reverse (332712), we get a palindrome (549945).

The spelling of 217233 in words is "two hundred seventeen thousand, two hundred thirty-three".