67128001 has 2 divisors, whose sum is σ = 67128002. Its totient is φ = 67128000.

The previous prime is 67127987. The next prime is 67128023. The reversal of 67128001 is 10082176.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 47334400 + 19793601 = 6880^2 + 4449^2 .

It is a cyclic number.

It is not a de Polignac number, because 67128001 - 2¹¹ = 67125953 is a prime.

It is not a weakly prime, because it can be changed into another prime (67128071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33564000 + 33564001.

It is an arithmetic number, because the mean of its divisors is an integer number (33564001).

Almost surely, 2^67128001 is an apocalyptic number.

It is an amenable number.

67128001 is a deficient number, since it is larger than the sum of its proper divisors (1).

67128001 is an equidigital number, since it uses as much as digits as its factorization.

67128001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 67128001 is about 8193.1679465272. The cubic root of 67128001 is about 406.4132933767.

The spelling of 67128001 in words is "sixty-seven million, one hundred twenty-eight thousand, one".