66033 has 24 divisors (see below), whose sum is σ = 112320. Its totient is φ = 36960.

The previous prime is 66029. The next prime is 66037. The reversal of 66033 is 33066.

66033 is a `hidden beast` number, since 660 + 3 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (66029) and next prime (66037).

It is not a de Polignac number, because 66033 - 2² = 66029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 65997 and 66015.

It is not an unprimeable number, because it can be changed into a prime (66037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2263 + ... + 2291.

It is an arithmetic number, because the mean of its divisors is an integer number (4680).

2⁶⁶⁰³³ is an apocalyptic number.

It is an amenable number.

66033 is a deficient number, since it is larger than the sum of its proper divisors (46287).

66033 is a wasteful number, since it uses less digits than its factorization.

66033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 66033 is about 256.9688697099. The cubic root of 66033 is about 40.4191344840.

Adding to 66033 its reverse (33066), we get a palindrome (99099).

The spelling of 66033 in words is "sixty-six thousand, thirty-three".