828916345 has 16 divisors (see below), whose sum is σ = 1055376000. Its totient is φ = 622842624.

The previous prime is 828916331. The next prime is 828916381. The reversal of 828916345 is 543619828.

It is a cyclic number.

It is not a de Polignac number, because 828916345 - 2²⁷ = 694698617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 828916295 and 828916304.

It is an unprimeable number.

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, 32644 + ... + 52186.

It is an arithmetic number, because the mean of its divisors is an integer number (65961000).

Almost surely, 2^828916345 is an apocalyptic number.

828916345 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

828916345 is a deficient number, since it is larger than the sum of its proper divisors (226459655).

828916345 is a wasteful number, since it uses less digits than its factorization.

828916345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20064.

The product of its digits is 414720, while the sum is 46.

The square root of 828916345 is about 28790.9073320033. The cubic root of 828916345 is about 939.3704646302.

The spelling of 828916345 in words is "eight hundred twenty-eight million, nine hundred sixteen thousand, three hundred forty-five".