4084001 has 2 divisors, whose sum is σ = 4084002. Its totient is φ = 4084000.

The previous prime is 4083997. The next prime is 4084019. The reversal of 4084001 is 1004804.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2483776 + 1600225 = 1576^2 + 1265^2 .

It is a cyclic number.

It is not a de Polignac number, because 4084001 - 2² = 4083997 is a prime.

It is not a weakly prime, because it can be changed into another prime (4084061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2042000 + 2042001.

It is an arithmetic number, because the mean of its divisors is an integer number (2042001).

Almost surely, 2^4084001 is an apocalyptic number.

It is an amenable number.

4084001 is a deficient number, since it is larger than the sum of its proper divisors (1).

4084001 is an equidigital number, since it uses as much as digits as its factorization.

4084001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 4084001 is about 2020.8911400667. The cubic root of 4084001 is about 159.8436102096.

Adding to 4084001 its reverse (1004804), we get a palindrome (5088805).

The spelling of 4084001 in words is "four million, eighty-four thousand, one".