406317 has 16 divisors (see below), whose sum is σ = 594432. Its totient is φ = 245760.

The previous prime is 406313. The next prime is 406327. The reversal of 406317 is 713604.

It is not a de Polignac number, because 406317 - 2² = 406313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 406293 and 406302.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 406317.

It is not an unprimeable number, because it can be changed into a prime (406313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1453 + ... + 1709.

It is an arithmetic number, because the mean of its divisors is an integer number (37152).

2⁴⁰⁶³¹⁷ is an apocalyptic number.

It is an amenable number.

406317 is a deficient number, since it is larger than the sum of its proper divisors (188115).

406317 is a wasteful number, since it uses less digits than its factorization.

406317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 406317 is about 637.4299961564. The cubic root of 406317 is about 74.0664730194.

The spelling of 406317 in words is "four hundred six thousand, three hundred seventeen".