828727 has 4 divisors (see below), whose sum is σ = 836440. Its totient is φ = 821016.

The previous prime is 828721. The next prime is 828731. The reversal of 828727 is 727828.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 828727 - 2¹⁹ = 304439 is a prime.

It is a Duffinian number.

828727 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 828692 and 828701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3693 + ... + 3910.

It is an arithmetic number, because the mean of its divisors is an integer number (209110).

828727 is a Friedman number, since it can be written as (8+8^2)^2+7^7, using all its digits and the basic arithmetic operations.

2⁸²⁸⁷²⁷ is an apocalyptic number.

828727 is a deficient number, since it is larger than the sum of its proper divisors (7713).

828727 is a wasteful number, since it uses less digits than its factorization.

828727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7712.

The product of its digits is 12544, while the sum is 34.

The square root of 828727 is about 910.3444403082. The cubic root of 828727 is about 93.9298934032.

The spelling of 828727 in words is "eight hundred twenty-eight thousand, seven hundred twenty-seven".