828117 has 8 divisors (see below), whose sum is σ = 1226880. Its totient is φ = 552060.

The previous prime is 828109. The next prime is 828119. The reversal of 828117 is 711828.

828117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 828117 - 2³ = 828109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 30671 = 828117 / (8 + 2 + 8 + 1 + 1 + 7).

828117 is a lucky number.

It is a plaindrome in base 15.

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 828117.

It is not an unprimeable number, because it can be changed into a prime (828119) 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, 15309 + ... + 15362.

It is an arithmetic number, because the mean of its divisors is an integer number (153360).

2⁸²⁸¹¹⁷ is an apocalyptic number.

It is an amenable number.

828117 is a deficient number, since it is larger than the sum of its proper divisors (398763).

828117 is a wasteful number, since it uses less digits than its factorization.

828117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30680 (or 30674 counting only the distinct ones).

The product of its digits is 896, while the sum is 27.

The square root of 828117 is about 910.0093406114. The cubic root of 828117 is about 93.9068414617.

The spelling of 828117 in words is "eight hundred twenty-eight thousand, one hundred seventeen".