405006617 has 2 divisors, whose sum is σ = 405006618. Its totient is φ = 405006616.

The previous prime is 405006583. The next prime is 405006619. The reversal of 405006617 is 716600504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 329386201 + 75620416 = 18149^2 + 8696^2 .

It is a cyclic number.

It is not a de Polignac number, because 405006617 - 2²⁰ = 403958041 is a prime.

Together with 405006619, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 405006617.

It is not a weakly prime, because it can be changed into another prime (405006619) 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, 202503308 + 202503309.

It is an arithmetic number, because the mean of its divisors is an integer number (202503309).

Almost surely, 2^405006617 is an apocalyptic number.

It is an amenable number.

405006617 is a deficient number, since it is larger than the sum of its proper divisors (1).

405006617 is an equidigital number, since it uses as much as digits as its factorization.

405006617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 405006617 is about 20124.7761975134. The cubic root of 405006617 is about 739.8676516415.

The spelling of 405006617 in words is "four hundred five million, six thousand, six hundred seventeen".