4001059 has 2 divisors, whose sum is σ = 4001060. Its totient is φ = 4001058.

The previous prime is 4001029. The next prime is 4001071. The reversal of 4001059 is 9501004.

4001059 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 4001059 - 2⁵ = 4001027 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (4001009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2000529 + 2000530.

It is an arithmetic number, because the mean of its divisors is an integer number (2000530).

Almost surely, 2^4001059 is an apocalyptic number.

4001059 is a deficient number, since it is larger than the sum of its proper divisors (1).

4001059 is an equidigital number, since it uses as much as digits as its factorization.

4001059 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 4001059 is about 2000.2647324792. The cubic root of 4001059 is about 158.7541127750.

Subtracting 4001059 from its reverse (9501004), we obtain a palindrome (5499945).

The spelling of 4001059 in words is "four million, one thousand, fifty-nine".