65233 has 4 divisors (see below), whose sum is σ = 74560. Its totient is φ = 55908.

The previous prime is 65213. The next prime is 65239. The reversal of 65233 is 33256.

65233 = 17² + 18² + ... + 58².

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 65233 - 2¹³ = 57041 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13 and base 15.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 65233.

It is not an unprimeable number, because it can be changed into a prime (65239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4653 + ... + 4666.

It is an arithmetic number, because the mean of its divisors is an integer number (18640).

2⁶⁵²³³ is an apocalyptic number.

It is an amenable number.

65233 is a deficient number, since it is larger than the sum of its proper divisors (9327).

65233 is an equidigital number, since it uses as much as digits as its factorization.

65233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9326.

The product of its digits is 540, while the sum is 19.

The square root of 65233 is about 255.4075175088. The cubic root of 65233 is about 40.2552428133.

Adding to 65233 its reverse (33256), we get a palindrome (98489).

The spelling of 65233 in words is "sixty-five thousand, two hundred thirty-three".