66729953 has 2 divisors, whose sum is σ = 66729954. Its totient is φ = 66729952.

The previous prime is 66729941. The next prime is 66729973. The reversal of 66729953 is 35992766.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36336784 + 30393169 = 6028^2 + 5513^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-66729953 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 66729898 and 66729907.

It is not a weakly prime, because it can be changed into another prime (66729973) 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, 33364976 + 33364977.

It is an arithmetic number, because the mean of its divisors is an integer number (33364977).

Almost surely, 2^66729953 is an apocalyptic number.

It is an amenable number.

66729953 is a deficient number, since it is larger than the sum of its proper divisors (1).

66729953 is an equidigital number, since it uses as much as digits as its factorization.

66729953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 612360, while the sum is 47.

The square root of 66729953 is about 8168.8403705789. The cubic root of 66729953 is about 405.6083992136.

The spelling of 66729953 in words is "sixty-six million, seven hundred twenty-nine thousand, nine hundred fifty-three".