59233 has 2 divisors, whose sum is σ = 59234. Its totient is φ = 59232.

The previous prime is 59221. The next prime is 59239. The reversal of 59233 is 33295.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42849 + 16384 = 207^2 + 128^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-59233 is a prime.

59233 is a lucky number.

It is a plaindrome in base 7.

It is a nialpdrome in base 16.

It is not a weakly prime, because it can be changed into another prime (59239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29616 + 29617.

It is an arithmetic number, because the mean of its divisors is an integer number (29617).

2⁵⁹²³³ is an apocalyptic number.

It is an amenable number.

59233 is a deficient number, since it is larger than the sum of its proper divisors (1).

59233 is an equidigital number, since it uses as much as digits as its factorization.

59233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 810, while the sum is 22.

The square root of 59233 is about 243.3783063463. The cubic root of 59233 is about 38.9811436349.

It can be divided in two parts, 592 and 33, that added together give a 4-th power (625 = 5⁴).

The spelling of 59233 in words is "fifty-nine thousand, two hundred thirty-three".