828411165 has 16 divisors (see below), whose sum is σ = 1472731200. Its totient is φ = 441819216.

The previous prime is 828411097. The next prime is 828411169. The reversal of 828411165 is 561114828.

828411165 is a `hidden beast` number, since 82 + 8 + 411 + 165 = 666.

It is not a de Polignac number, because 828411165 - 2¹¹ = 828409117 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828411169) 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, 3068055 + ... + 3068324.

It is an arithmetic number, because the mean of its divisors is an integer number (92045700).

Almost surely, 2^828411165 is an apocalyptic number.

It is an amenable number.

828411165 is a deficient number, since it is larger than the sum of its proper divisors (644320035).

828411165 is a wasteful number, since it uses less digits than its factorization.

828411165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6136393 (or 6136387 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 828411165 is about 28782.1327389059. The cubic root of 828411165 is about 939.1795938983.

The spelling of 828411165 in words is "eight hundred twenty-eight million, four hundred eleven thousand, one hundred sixty-five".