67065001 has 2 divisors, whose sum is σ = 67065002. Its totient is φ = 67065000.

The previous prime is 67064999. The next prime is 67065013. The reversal of 67065001 is 10056076.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61779600 + 5285401 = 7860^2 + 2299^2 .

It is a cyclic number.

It is not a de Polignac number, because 67065001 - 2¹ = 67064999 is a prime.

Together with 67064999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (67065091) 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, 33532500 + 33532501.

It is an arithmetic number, because the mean of its divisors is an integer number (33532501).

Almost surely, 2^67065001 is an apocalyptic number.

It is an amenable number.

67065001 is a deficient number, since it is larger than the sum of its proper divisors (1).

67065001 is an equidigital number, since it uses as much as digits as its factorization.

67065001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 67065001 is about 8189.3223773399. The cubic root of 67065001 is about 406.2861132078.

The spelling of 67065001 in words is "sixty-seven million, sixty-five thousand, one".