66982617 has 24 divisors (see below), whose sum is σ = 107018184. Its totient is φ = 40103424.

The previous prime is 66982589. The next prime is 66982627. The reversal of 66982617 is 71628966.

It can be written as a sum of positive squares in 4 ways, for example, as 9511056 + 57471561 = 3084^2 + 7581^2 .

It is not a de Polignac number, because 66982617 - 2⁸ = 66982361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (66982627) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3408 + ... + 12065.

It is an arithmetic number, because the mean of its divisors is an integer number (4459091).

Almost surely, 2^66982617 is an apocalyptic number.

It is an amenable number.

66982617 is a deficient number, since it is larger than the sum of its proper divisors (40035567).

66982617 is a wasteful number, since it uses less digits than its factorization.

66982617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15529 (or 15526 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 66982617 is about 8184.2908672652. The cubic root of 66982617 is about 406.1196816877.

The spelling of 66982617 in words is "sixty-six million, nine hundred eighty-two thousand, six hundred seventeen".