828317 has 8 divisors (see below), whose sum is σ = 952512. Its totient is φ = 705600.

The previous prime is 828277. The next prime is 828349. The reversal of 828317 is 713828.

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

It is not a de Polignac number, because 828317 - 2¹⁰ = 827293 is a prime.

It is a super-2 number, since 2×828317² = 1372218104978, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 828317.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828397) 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 in 7 ways as a sum of consecutive naturals, for example, 1442 + ... + 1932.

It is an arithmetic number, because the mean of its divisors is an integer number (119064).

2⁸²⁸³¹⁷ is an apocalyptic number.

It is an amenable number.

828317 is a deficient number, since it is larger than the sum of its proper divisors (124195).

828317 is a wasteful number, since it uses less digits than its factorization.

828317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739.

The product of its digits is 2688, while the sum is 29.

The square root of 828317 is about 910.1192229593. The cubic root of 828317 is about 93.9144007223.

The spelling of 828317 in words is "eight hundred twenty-eight thousand, three hundred seventeen".