4000301 has 2 divisors, whose sum is σ = 4000302. Its totient is φ = 4000300.

The previous prime is 4000291. The next prime is 4000303. The reversal of 4000301 is 1030004.

4000301 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 can be written as a sum of positive squares in only one way, i.e., 3276100 + 724201 = 1810^2 + 851^2 .

It is a cyclic number.

It is not a de Polignac number, because 4000301 - 2⁶ = 4000237 is a prime.

Together with 4000303, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4000303) 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, 2000150 + 2000151.

It is an arithmetic number, because the mean of its divisors is an integer number (2000151).

Almost surely, 2^4000301 is an apocalyptic number.

It is an amenable number.

4000301 is a deficient number, since it is larger than the sum of its proper divisors (1).

4000301 is an equidigital number, since it uses as much as digits as its factorization.

4000301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 4000301 is about 2000.0752485844. The cubic root of 4000301 is about 158.7440868279.

Adding to 4000301 its reverse (1030004), we get a palindrome (5030305).

The spelling of 4000301 in words is "four million, three hundred one", and thus it is an aban number.