66105971 has 2 divisors, whose sum is σ = 66105972. Its totient is φ = 66105970.

The previous prime is 66105967. The next prime is 66105973. The reversal of 66105971 is 17950166.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 66105971 - 2² = 66105967 is a prime.

Together with 66105973, 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 (66105973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33052985 + 33052986.

It is an arithmetic number, because the mean of its divisors is an integer number (33052986).

Almost surely, 2^66105971 is an apocalyptic number.

66105971 is a deficient number, since it is larger than the sum of its proper divisors (1).

66105971 is an equidigital number, since it uses as much as digits as its factorization.

66105971 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11340, while the sum is 35.

The square root of 66105971 is about 8130.5578529397. The cubic root of 66105971 is about 404.3401764288.

It can be divided in two parts, 66105 and 971, that added together give a palindrome (67076).

The spelling of 66105971 in words is "sixty-six million, one hundred five thousand, nine hundred seventy-one".