828971 has 24 divisors (see below), whose sum is σ = 1072512. Its totient is φ = 633600.

The previous prime is 828967. The next prime is 828977. The reversal of 828971 is 179828.

It is a happy number.

828971 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 828971 - 2² = 828967 is a prime.

It is a Duffinian number.

Its product of digits (8064) is a multiple of the sum of its prime divisors (72).

It is not an unprimeable number, because it can be changed into a prime (828977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26726 + ... + 26756.

It is an arithmetic number, because the mean of its divisors is an integer number (44688).

2⁸²⁸⁹⁷¹ is an apocalyptic number.

828971 is a deficient number, since it is larger than the sum of its proper divisors (243541).

828971 is a wasteful number, since it uses less digits than its factorization.

828971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 72 counting only the distinct ones).

The product of its digits is 8064, while the sum is 35.

The square root of 828971 is about 910.4784456537. The cubic root of 828971 is about 93.9391110125.

The spelling of 828971 in words is "eight hundred twenty-eight thousand, nine hundred seventy-one".