4090001 has 2 divisors, whose sum is σ = 4090002. Its totient is φ = 4090000.

The previous prime is 4089973. The next prime is 4090003. The reversal of 4090001 is 1000904.

4090001 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., 3243601 + 846400 = 1801^2 + 920^2 .

It is a cyclic number.

It is not a de Polignac number, because 4090001 - 2⁶ = 4089937 is a prime.

Together with 4090003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (4090003) 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, 2045000 + 2045001.

It is an arithmetic number, because the mean of its divisors is an integer number (2045001).

Almost surely, 2^4090001 is an apocalyptic number.

It is an amenable number.

4090001 is a deficient number, since it is larger than the sum of its proper divisors (1).

4090001 is an equidigital number, since it uses as much as digits as its factorization.

4090001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 4090001 is about 2022.3750888497. The cubic root of 4090001 is about 159.9218498555.

Adding to 4090001 its reverse (1000904), we get a palindrome (5090905).

The spelling of 4090001 in words is "four million, ninety thousand, one".