4008001 has 2 divisors, whose sum is σ = 4008002. Its totient is φ = 4008000.

The previous prime is 4007999. The next prime is 4008013. The reversal of 4008001 is 1008004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2808976 + 1199025 = 1676^2 + 1095^2 .

It is a cyclic number.

It is not a de Polignac number, because 4008001 - 2¹ = 4007999 is a prime.

Together with 4007999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (4008091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2004000 + 2004001.

It is an arithmetic number, because the mean of its divisors is an integer number (2004001).

Almost surely, 2^4008001 is an apocalyptic number.

It is an amenable number.

4008001 is a deficient number, since it is larger than the sum of its proper divisors (1).

4008001 is an equidigital number, since it uses as much as digits as its factorization.

4008001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 4008001 is about 2001.9992507491. Note that the first 3 decimals coincide. The cubic root of 4008001 is about 158.8458746715.

The spelling of 4008001 in words is "four million, eight thousand, one".