64008001 has 2 divisors, whose sum is σ = 64008002. Its totient is φ = 64008000.

The previous prime is 64007989. The next prime is 64008013. The reversal of 64008001 is 10080046.

64008001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (64007989) and next prime (64008013).

It can be written as a sum of positive squares in only one way, i.e., 43296400 + 20711601 = 6580^2 + 4551^2 .

It is a cyclic number.

It is not a de Polignac number, because 64008001 - 2¹⁹ = 63483713 is a prime.

It is a Chen prime.

It is the 8001-st Hogben number.

It is a self number, because there is not a number n which added to its sum of digits gives 64008001.

It is not a weakly prime, because it can be changed into another prime (64008071) by changing a digit.

It is a nontrivial repunit in base 8000.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32004000 + 32004001.

It is an arithmetic number, because the mean of its divisors is an integer number (32004001).

Almost surely, 2^64008001 is an apocalyptic number.

It is an amenable number.

64008001 is a deficient number, since it is larger than the sum of its proper divisors (1).

64008001 is an equidigital number, since it uses as much as digits as its factorization.

64008001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 64008001 is about 8000.5000468721. The cubic root of 64008001 is about 400.0166680554.

Adding to 64008001 its reverse (10080046), we get a palindrome (74088047).

The spelling of 64008001 in words is "sixty-four million, eight thousand, one".