66967201 has 16 divisors (see below), whose sum is σ = 77785344. Its totient is φ = 56470464.

The previous prime is 66967189. The next prime is 66967259. The reversal of 66967201 is 10276966.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-66967201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (66967291) 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 in 15 ways as a sum of consecutive naturals, for example, 211095 + ... + 211411.

It is an arithmetic number, because the mean of its divisors is an integer number (4861584).

Almost surely, 2^66967201 is an apocalyptic number.

It is an amenable number.

66967201 is a deficient number, since it is larger than the sum of its proper divisors (10818143).

66967201 is a wasteful number, since it uses less digits than its factorization.

66967201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720.

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 66967201 is about 8183.3490088105. The cubic root of 66967201 is about 406.0885232486.

The spelling of 66967201 in words is "sixty-six million, nine hundred sixty-seven thousand, two hundred one".