180233 has 2 divisors, whose sum is σ = 180234. Its totient is φ = 180232.

The previous prime is 180221. The next prime is 180239. The reversal of 180233 is 332081.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 153664 + 26569 = 392^2 + 163^2 .

It is an emirp because it is prime and its reverse (332081) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 180233 - 2¹⁰ = 179209 is a prime.

It is a plaindrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 180233.

It is not a weakly prime, because it can be changed into another prime (180239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90116 + 90117.

It is an arithmetic number, because the mean of its divisors is an integer number (90117).

2¹⁸⁰²³³ is an apocalyptic number.

It is an amenable number.

180233 is a deficient number, since it is larger than the sum of its proper divisors (1).

180233 is an equidigital number, since it uses as much as digits as its factorization.

180233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 180233 is about 424.5385730414. The cubic root of 180233 is about 56.4865136057.

The spelling of 180233 in words is "one hundred eighty thousand, two hundred thirty-three".