185233 has 2 divisors, whose sum is σ = 185234. Its totient is φ = 185232.

The previous prime is 185221. The next prime is 185243. The reversal of 185233 is 332581.

185233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 166464 + 18769 = 408^2 + 137^2 .

It is a cyclic number.

It is not a de Polignac number, because 185233 - 2⁹ = 184721 is a prime.

It is a super-2 number, since 2×185233² = 68622528578, which contains 22 as substring.

185233 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (185243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 92616 + 92617.

It is an arithmetic number, because the mean of its divisors is an integer number (92617).

2¹⁸⁵²³³ is an apocalyptic number.

It is an amenable number.

185233 is a deficient number, since it is larger than the sum of its proper divisors (1).

185233 is an equidigital number, since it uses as much as digits as its factorization.

185233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 720, while the sum is 22.

The square root of 185233 is about 430.3870351207. The cubic root of 185233 is about 57.0041035314.

It can be divided in two parts, 1852 and 33, that multiplied together give a palindrome (61116).

The spelling of 185233 in words is "one hundred eighty-five thousand, two hundred thirty-three".