66008417 has 2 divisors, whose sum is σ = 66008418. Its totient is φ = 66008416.

The previous prime is 66008389. The next prime is 66008419. The reversal of 66008417 is 71480066.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62710561 + 3297856 = 7919^2 + 1816^2 .

It is a cyclic number.

It is not a de Polignac number, because 66008417 - 2¹⁴ = 65992033 is a prime.

It is a super-2 number, since 2×66008417² = 8714222229691778, which contains 22 as substring.

Together with 66008419, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (66008419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33004208 + 33004209.

It is an arithmetic number, because the mean of its divisors is an integer number (33004209).

Almost surely, 2^66008417 is an apocalyptic number.

It is an amenable number.

66008417 is a deficient number, since it is larger than the sum of its proper divisors (1).

66008417 is an equidigital number, since it uses as much as digits as its factorization.

66008417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 66008417 is about 8124.5564186607. The cubic root of 66008417 is about 404.1411806841.

The spelling of 66008417 in words is "sixty-six million, eight thousand, four hundred seventeen".