4013641 has 2 divisors, whose sum is σ = 4013642. Its totient is φ = 4013640.

The previous prime is 4013623. The next prime is 4013651. The reversal of 4013641 is 1463104.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3367225 + 646416 = 1835^2 + 804^2 .

It is a cyclic number.

It is not a de Polignac number, because 4013641 - 2¹⁷ = 3882569 is a prime.

It is a super-2 number, since 2×4013641² = 32218628153762, which contains 22 as substring.

4013641 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (4013621) by changing a digit.

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, 2006820 + 2006821.

It is an arithmetic number, because the mean of its divisors is an integer number (2006821).

Almost surely, 2^4013641 is an apocalyptic number.

It is an amenable number.

4013641 is a deficient number, since it is larger than the sum of its proper divisors (1).

4013641 is an equidigital number, since it uses as much as digits as its factorization.

4013641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 4013641 is about 2003.4073474958. The cubic root of 4013641 is about 158.9203482751.

Adding to 4013641 its reverse (1463104), we get a palindrome (5476745).

The spelling of 4013641 in words is "four million, thirteen thousand, six hundred forty-one".