4017001 has 2 divisors, whose sum is σ = 4017002. Its totient is φ = 4017000.

The previous prime is 4016983. The next prime is 4017007. The reversal of 4017001 is 1007104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2893401 + 1123600 = 1701^2 + 1060^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4017001 is a prime.

It is a super-2 number, since 2×4017001² = 32272594068002, which contains 22 as substring.

It is a Chen prime.

It is a nialpdrome in base 13.

It is not a weakly prime, because it can be changed into another prime (4017007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2008500 + 2008501.

It is an arithmetic number, because the mean of its divisors is an integer number (2008501).

Almost surely, 2^4017001 is an apocalyptic number.

It is an amenable number.

4017001 is a deficient number, since it is larger than the sum of its proper divisors (1).

4017001 is an equidigital number, since it uses as much as digits as its factorization.

4017001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 4017001 is about 2004.2457434157. The cubic root of 4017001 is about 158.9646823710.

The spelling of 4017001 in words is "four million, seventeen thousand, one".