828927 has 16 divisors (see below), whose sum is σ = 1340160. Its totient is φ = 502200.

The previous prime is 828923. The next prime is 828941. The reversal of 828927 is 729828.

It is not a de Polignac number, because 828927 - 2² = 828923 is a prime.

828927 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 828891 and 828900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828923) 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, 1099 + ... + 1692.

It is an arithmetic number, because the mean of its divisors is an integer number (83760).

2⁸²⁸⁹²⁷ is an apocalyptic number.

828927 is a deficient number, since it is larger than the sum of its proper divisors (511233).

828927 is a wasteful number, since it uses less digits than its factorization.

828927 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2811 (or 2805 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 828927 is about 910.4542822130. The cubic root of 828927 is about 93.9374489544.

Subtracting from 828927 its reverse (729828), we obtain a palindrome (99099).

It can be divided in two parts, 82 and 8927, that added together give a palindrome (9009).

The spelling of 828927 in words is "eight hundred twenty-eight thousand, nine hundred twenty-seven".