66182733 has 12 divisors (see below), whose sum is σ = 97929468. Its totient is φ = 43045440.

The previous prime is 66182731. The next prime is 66182747. The reversal of 66182733 is 33728166.

It is a happy number.

66182733 is a `hidden beast` number, since 6 + 618 + 2 + 7 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33212169 + 32970564 = 5763^2 + 5742^2 .

It is not a de Polignac number, because 66182733 - 2¹ = 66182731 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66182731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89310 + ... + 90047.

It is an arithmetic number, because the mean of its divisors is an integer number (8160789).

Almost surely, 2^66182733 is an apocalyptic number.

It is an amenable number.

66182733 is a deficient number, since it is larger than the sum of its proper divisors (31746735).

66182733 is a wasteful number, since it uses less digits than its factorization.

66182733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179404 (or 179401 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 66182733 is about 8135.2770696517. The cubic root of 66182733 is about 404.4966219771.

The spelling of 66182733 in words is "sixty-six million, one hundred eighty-two thousand, seven hundred thirty-three".