406717 has 2 divisors, whose sum is σ = 406718. Its totient is φ = 406716.

The previous prime is 406699. The next prime is 406729. The reversal of 406717 is 717604.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 401956 + 4761 = 634^2 + 69^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-406717 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 406691 and 406700.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (406117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203358 + 203359.

It is an arithmetic number, because the mean of its divisors is an integer number (203359).

2⁴⁰⁶⁷¹⁷ is an apocalyptic number.

It is an amenable number.

406717 is a deficient number, since it is larger than the sum of its proper divisors (1).

406717 is an equidigital number, since it uses as much as digits as its factorization.

406717 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 406717 is about 637.7436789181. The cubic root of 406717 is about 74.0907700359.

The spelling of 406717 in words is "four hundred six thousand, seven hundred seventeen".