65933 has 4 divisors (see below), whose sum is σ = 75360. Its totient is φ = 56508.

The previous prime is 65929. The next prime is 65951. The reversal of 65933 is 33956.

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 65933 - 2² = 65929 is a prime.

It is a Duffinian number.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4703 + ... + 4716.

It is an arithmetic number, because the mean of its divisors is an integer number (18840).

2⁶⁵⁹³³ is an apocalyptic number.

It is an amenable number.

65933 is a deficient number, since it is larger than the sum of its proper divisors (9427).

65933 is an equidigital number, since it uses as much as digits as its factorization.

65933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9426.

The product of its digits is 2430, while the sum is 26.

The square root of 65933 is about 256.7742198898. The cubic root of 65933 is about 40.3987206731.

The spelling of 65933 in words is "sixty-five thousand, nine hundred thirty-three".