828716265 has 56 divisors (see below), whose sum is σ = 1605791880. Its totient is φ = 407960064.

The previous prime is 828716261. The next prime is 828716279. The reversal of 828716265 is 562617828.

828716265 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 50808384 + 777907881 = 7128^2 + 27891^2 .

It is not a de Polignac number, because 828716265 - 2² = 828716261 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 828716265.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828716261) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 38641 + ... + 56129.

It is an arithmetic number, because the mean of its divisors is an integer number (28674855).

Almost surely, 2^828716265 is an apocalyptic number.

It is an amenable number.

828716265 is a deficient number, since it is larger than the sum of its proper divisors (777075615).

828716265 is a wasteful number, since it uses less digits than its factorization.

828716265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17525 (or 17510 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 828716265 is about 28787.4324141630. The cubic root of 828716265 is about 939.2948782465.

The spelling of 828716265 in words is "eight hundred twenty-eight million, seven hundred sixteen thousand, two hundred sixty-five".