66054017 has 2 divisors, whose sum is σ = 66054018. Its totient is φ = 66054016.

The previous prime is 66053987. The next prime is 66054019. The reversal of 66054017 is 71045066.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63377521 + 2676496 = 7961^2 + 1636^2 .

It is a cyclic number.

It is not a de Polignac number, because 66054017 - 2¹⁰ = 66052993 is a prime.

Together with 66054019, 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 (66054019) 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 as a sum of consecutive naturals, namely, 33027008 + 33027009.

It is an arithmetic number, because the mean of its divisors is an integer number (33027009).

Almost surely, 2^66054017 is an apocalyptic number.

It is an amenable number.

66054017 is a deficient number, since it is larger than the sum of its proper divisors (1).

66054017 is an equidigital number, since it uses as much as digits as its factorization.

66054017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 66054017 is about 8127.3622412195. The cubic root of 66054017 is about 404.2342223326.

The spelling of 66054017 in words is "sixty-six million, fifty-four thousand, seventeen".