66801317 has 24 divisors (see below), whose sum is σ = 77386848. Its totient is φ = 57546720.

The previous prime is 66801289. The next prime is 66801323. The reversal of 66801317 is 71310866.

It is not a de Polignac number, because 66801317 - 2²⁰ = 65752741 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66801377) 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 23 ways as a sum of consecutive naturals, for example, 192338 + ... + 192684.

It is an arithmetic number, because the mean of its divisors is an integer number (3224452).

Almost surely, 2^66801317 is an apocalyptic number.

It is an amenable number.

66801317 is a deficient number, since it is larger than the sum of its proper divisors (10585531).

66801317 is a wasteful number, since it uses less digits than its factorization.

66801317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 66801317 is about 8173.2072652050. The cubic root of 66801317 is about 405.7529396285.

It can be divided in two parts, 6680 and 1317, that added together give a palindrome (7997).

The spelling of 66801317 in words is "sixty-six million, eight hundred one thousand, three hundred seventeen".