404100017 has 2 divisors, whose sum is σ = 404100018. Its totient is φ = 404100016.

The previous prime is 404100001. The next prime is 404100019. The reversal of 404100017 is 710001404.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 396965776 + 7134241 = 19924^2 + 2671^2 .

It is a cyclic number.

It is not a de Polignac number, because 404100017 - 2⁴ = 404100001 is a prime.

Together with 404100019, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 404099968 and 404100004.

It is not a weakly prime, because it can be changed into another prime (404100019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202050008 + 202050009.

It is an arithmetic number, because the mean of its divisors is an integer number (202050009).

Almost surely, 2^404100017 is an apocalyptic number.

It is an amenable number.

404100017 is a deficient number, since it is larger than the sum of its proper divisors (1).

404100017 is an equidigital number, since it uses as much as digits as its factorization.

404100017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 404100017 is about 20102.2391041396. The cubic root of 404100017 is about 739.3151790761.

The spelling of 404100017 in words is "four hundred four million, one hundred thousand, seventeen".