820317 has 8 divisors (see below), whose sum is σ = 1098880. Its totient is φ = 544320.

The previous prime is 820279. The next prime is 820319. The reversal of 820317 is 713028.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 820317 - 2¹⁶ = 754781 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 820293 and 820302.

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 820317.

It is not an unprimeable number, because it can be changed into a prime (820319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 309 + ... + 1317.

It is an arithmetic number, because the mean of its divisors is an integer number (137360).

2⁸²⁰³¹⁷ is an apocalyptic number.

It is an amenable number.

820317 is a deficient number, since it is larger than the sum of its proper divisors (278563).

820317 is a wasteful number, since it uses less digits than its factorization.

820317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283.

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 820317 is about 905.7135308694. The cubic root of 820317 is about 93.6110760141.

The spelling of 820317 in words is "eight hundred twenty thousand, three hundred seventeen".