4002041 has 2 divisors, whose sum is σ = 4002042. Its totient is φ = 4002040.

The previous prime is 4002017. The next prime is 4002043. The reversal of 4002041 is 1402004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2042041 + 1960000 = 1429^2 + 1400^2 .

It is a cyclic number.

It is not a de Polignac number, because 4002041 - 2¹⁰ = 4001017 is a prime.

It is a Sophie Germain prime.

Together with 4002043, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (4002043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2001020 + 2001021.

It is an arithmetic number, because the mean of its divisors is an integer number (2001021).

Almost surely, 2^4002041 is an apocalyptic number.

It is an amenable number.

4002041 is a deficient number, since it is larger than the sum of its proper divisors (1).

4002041 is an equidigital number, since it uses as much as digits as its factorization.

4002041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 4002041 is about 2000.5101849278. The cubic root of 4002041 is about 158.7670996523.

Adding to 4002041 its reverse (1402004), we get a palindrome (5404045).

The spelling of 4002041 in words is "four million, two thousand, forty-one".