66957061 has 2 divisors, whose sum is σ = 66957062. Its totient is φ = 66957060.

The previous prime is 66957049. The next prime is 66957097. The reversal of 66957061 is 16075966.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35034561 + 31922500 = 5919^2 + 5650^2 .

It is a cyclic number.

It is not a de Polignac number, because 66957061 - 2⁵ = 66957029 is a prime.

It is a super-3 number, since 3×66957061³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66957001) 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, 33478530 + 33478531.

It is an arithmetic number, because the mean of its divisors is an integer number (33478531).

Almost surely, 2^66957061 is an apocalyptic number.

It is an amenable number.

66957061 is a deficient number, since it is larger than the sum of its proper divisors (1).

66957061 is an equidigital number, since it uses as much as digits as its factorization.

66957061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 66957061 is about 8182.7294346080. The cubic root of 66957061 is about 406.0680259235.

The spelling of 66957061 in words is "sixty-six million, nine hundred fifty-seven thousand, sixty-one".