66633 has 16 divisors (see below), whose sum is σ = 107520. Its totient is φ = 35856.

The previous prime is 66629. The next prime is 66643. The reversal of 66633 is 33666.

It is not a de Polignac number, because 66633 - 2² = 66629 is a prime.

It is a plaindrome in base 9.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316 + ... + 482.

It is an arithmetic number, because the mean of its divisors is an integer number (6720).

2⁶⁶⁶³³ is an apocalyptic number.

It is an amenable number.

66633 is a deficient number, since it is larger than the sum of its proper divisors (40887).

66633 is a wasteful number, since it uses less digits than its factorization.

66633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196.

The product of its digits is 1944, while the sum is 24.

The square root of 66633 is about 258.1336862945. The cubic root of 66633 is about 40.5411865723.

It can be divided in two parts, 6663 and 3, that added together give a palindrome (6666).

The spelling of 66633 in words is "sixty-six thousand, six hundred thirty-three".