66933 has 16 divisors (see below), whose sum is σ = 103360. Its totient is φ = 42768.

The previous prime is 66931. The next prime is 66943. The reversal of 66933 is 33966.

It is not a de Polignac number, because 66933 - 2¹ = 66931 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 66897 and 66906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 966 + ... + 1032.

It is an arithmetic number, because the mean of its divisors is an integer number (6460).

2⁶⁶⁹³³ is an apocalyptic number.

It is an amenable number.

66933 is a deficient number, since it is larger than the sum of its proper divisors (36427).

66933 is a wasteful number, since it uses less digits than its factorization.

66933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 107 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

The square root of 66933 is about 258.7141279482. The cubic root of 66933 is about 40.6019379954.

It can be divided in two parts, 66 and 933, that added together give a palindrome (999).

The spelling of 66933 in words is "sixty-six thousand, nine hundred thirty-three".