4082001 has 32 divisors (see below), whose sum is σ = 6967296. Its totient is φ = 2064000.

The previous prime is 4081999. The next prime is 4082021. The reversal of 4082001 is 1002804.

4082001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4082001 - 2¹ = 4081999 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4082021) 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 in 31 ways as a sum of consecutive naturals, for example, 9256 + ... + 9686.

It is an arithmetic number, because the mean of its divisors is an integer number (217728).

Almost surely, 2^4082001 is an apocalyptic number.

4082001 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4082001 is a deficient number, since it is larger than the sum of its proper divisors (2885295).

4082001 is a wasteful number, since it uses less digits than its factorization.

4082001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 4082001 is about 2020.3962482642. The cubic root of 4082001 is about 159.8175132996.

Adding to 4082001 its reverse (1002804), we get a palindrome (5084805).

The spelling of 4082001 in words is "four million, eighty-two thousand, one".