828999 has 6 divisors (see below), whose sum is σ = 1197456. Its totient is φ = 552660.

The previous prime is 828977. The next prime is 829001. The reversal of 828999 is 999828.

828999 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 828999 - 2⁵ = 828967 is a prime.

828999 is a modest number, since divided by 999 gives 828 as remainder.

828999 is a lucky number.

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 828999.

It is not an unprimeable number, because it can be changed into a prime (828199) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 46047 + ... + 46064.

It is an arithmetic number, because the mean of its divisors is an integer number (199576).

2⁸²⁸⁹⁹⁹ is an apocalyptic number.

828999 is a deficient number, since it is larger than the sum of its proper divisors (368457).

828999 is a wasteful number, since it uses less digits than its factorization.

828999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92117 (or 92114 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 828999 is about 910.4938220548. The cubic root of 828999 is about 93.9401686553.

The spelling of 828999 in words is "eight hundred twenty-eight thousand, nine hundred ninety-nine".