414017 has 2 divisors, whose sum is σ = 414018. Its totient is φ = 414016.

The previous prime is 414013. The next prime is 414019. The reversal of 414017 is 710414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 410881 + 3136 = 641^2 + 56^2 .

It is a cyclic number.

It is not a de Polignac number, because 414017 - 2² = 414013 is a prime.

Together with 414019, 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 = 413986 and 414004.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 414017.

It is not a weakly prime, because it can be changed into another prime (414013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207008 + 207009.

It is an arithmetic number, because the mean of its divisors is an integer number (207009).

2⁴¹⁴⁰¹⁷ is an apocalyptic number.

It is an amenable number.

414017 is a deficient number, since it is larger than the sum of its proper divisors (1).

414017 is an equidigital number, since it uses as much as digits as its factorization.

414017 is an odious number, because the sum of its binary digits is odd.

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

The square root of 414017 is about 643.4415280350. The cubic root of 414017 is about 74.5314192656.

The spelling of 414017 in words is "four hundred fourteen thousand, seventeen", and thus it is an iban number.