828711841 has 16 divisors (see below), whose sum is σ = 854744400. Its totient is φ = 803202048.

The previous prime is 828711773. The next prime is 828711853. The reversal of 828711841 is 148117828.

It can be written as a sum of positive squares in 8 ways, for example, as 10751841 + 817960000 = 3279^2 + 28600^2 .

It is a cyclic number.

It is not a de Polignac number, because 828711841 - 2⁷ = 828711713 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 828711794 and 828711803.

It is not an unprimeable number, because it can be changed into a prime (828711241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1487535 + ... + 1488091.

It is an arithmetic number, because the mean of its divisors is an integer number (53421525).

Almost surely, 2^828711841 is an apocalyptic number.

It is an amenable number.

828711841 is a deficient number, since it is larger than the sum of its proper divisors (26032559).

828711841 is a wasteful number, since it uses less digits than its factorization.

828711841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948.

The product of its digits is 28672, while the sum is 40.

The square root of 828711841 is about 28787.3555749742. The cubic root of 828711841 is about 939.2932068068.

The spelling of 828711841 in words is "eight hundred twenty-eight million, seven hundred eleven thousand, eight hundred forty-one".