828005347 has 16 divisors (see below), whose sum is σ = 910561120. Its totient is φ = 748300032.

The previous prime is 828005341. The next prime is 828005357. The reversal of 828005347 is 743500828.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-828005347 is a prime.

It is not an unprimeable number, because it can be changed into a prime (828005341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128773 + ... + 135049.

It is an arithmetic number, because the mean of its divisors is an integer number (56910070).

Almost surely, 2^828005347 is an apocalyptic number.

828005347 is a deficient number, since it is larger than the sum of its proper divisors (82555773).

828005347 is a wasteful number, since it uses less digits than its factorization.

828005347 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6502.

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 828005347 is about 28775.0820502740. The cubic root of 828005347 is about 939.0262086174.

The spelling of 828005347 in words is "eight hundred twenty-eight million, five thousand, three hundred forty-seven".