66052097 has 2 divisors, whose sum is σ = 66052098. Its totient is φ = 66052096.

The previous prime is 66052069. The next prime is 66052109. The reversal of 66052097 is 79025066.

66052097 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58997761 + 7054336 = 7681^2 + 2656^2 .

It is a cyclic number.

It is not a de Polignac number, because 66052097 - 2⁶ = 66052033 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (66052057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33026048 + 33026049.

It is an arithmetic number, because the mean of its divisors is an integer number (33026049).

It is a Proth number, since it is equal to 8063 ⋅ 2¹³ + 1 and 8063 < 2¹³.

Almost surely, 2^66052097 is an apocalyptic number.

It is an amenable number.

66052097 is a deficient number, since it is larger than the sum of its proper divisors (1).

66052097 is an equidigital number, since it uses as much as digits as its factorization.

66052097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 66052097 is about 8127.2441208567. The cubic root of 66052097 is about 404.2303056532.

The spelling of 66052097 in words is "sixty-six million, fifty-two thousand, ninety-seven".