828711 has 20 divisors (see below), whose sum is σ = 1334872. Its totient is φ = 509328.

The previous prime is 828703. The next prime is 828721. The reversal of 828711 is 117828.

828711 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 828711 - 2³ = 828703 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

828711 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828701) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 660 + ... + 1446.

2⁸²⁸⁷¹¹ is an apocalyptic number.

828711 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

828711 is a deficient number, since it is larger than the sum of its proper divisors (506161).

828711 is a wasteful number, since it uses less digits than its factorization.

828711 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 803 counting only the distinct ones).

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

The square root of 828711 is about 910.3356523832. The cubic root of 828711 is about 93.9292889066.

The spelling of 828711 in words is "eight hundred twenty-eight thousand, seven hundred eleven".