4042001 has 2 divisors, whose sum is σ = 4042002. Its totient is φ = 4042000.

The previous prime is 4041979. The next prime is 4042019. The reversal of 4042001 is 1002404.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3900625 + 141376 = 1975^2 + 376^2 .

It is a cyclic number.

It is not a de Polignac number, because 4042001 - 2¹⁸ = 3779857 is a prime.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (4042081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2021000 + 2021001.

It is an arithmetic number, because the mean of its divisors is an integer number (2021001).

Almost surely, 2^4042001 is an apocalyptic number.

It is an amenable number.

4042001 is a deficient number, since it is larger than the sum of its proper divisors (1).

4042001 is an equidigital number, since it uses as much as digits as its factorization.

4042001 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 4042001 is about 2010.4728299582. The cubic root of 4042001 is about 159.2937753998.

Adding to 4042001 its reverse (1002404), we get a palindrome (5044405).

The spelling of 4042001 in words is "four million, forty-two thousand, one".