828005517 has 8 divisors (see below), whose sum is σ = 1226674880. Its totient is φ = 552003660.

The previous prime is 828005471. The next prime is 828005551. The reversal of 828005517 is 715500828.

828005517 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 828005517 - 2¹⁴ = 827989133 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828005317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15333409 + ... + 15333462.

It is an arithmetic number, because the mean of its divisors is an integer number (153334360).

Almost surely, 2^828005517 is an apocalyptic number.

It is an amenable number.

828005517 is a deficient number, since it is larger than the sum of its proper divisors (398669363).

828005517 is a wasteful number, since it uses less digits than its factorization.

828005517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30666880 (or 30666874 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 828005517 is about 28775.0850042185. The cubic root of 828005517 is about 939.0262728821.

The spelling of 828005517 in words is "eight hundred twenty-eight million, five thousand, five hundred seventeen".