828133969 has 12 divisors (see below), whose sum is σ = 925669632. Its totient is φ = 739767600.

The previous prime is 828133967. The next prime is 828133991. The reversal of 828133969 is 969331828.

It is not a de Polignac number, because 828133969 - 2¹ = 828133967 is a prime.

It is a super-2 number, since 2×828133969² = 1371611741223385922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (828133967) 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 11 ways as a sum of consecutive naturals, for example, 73797 + ... + 84274.

It is an arithmetic number, because the mean of its divisors is an integer number (77139136).

Almost surely, 2^828133969 is an apocalyptic number.

It is an amenable number.

828133969 is a deficient number, since it is larger than the sum of its proper divisors (97535663).

828133969 is a wasteful number, since it uses less digits than its factorization.

828133969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158128 (or 158115 counting only the distinct ones).

The product of its digits is 559872, while the sum is 49.

The square root of 828133969 is about 28777.3169180172. The cubic root of 828133969 is about 939.0748287445.

The spelling of 828133969 in words is "eight hundred twenty-eight million, one hundred thirty-three thousand, nine hundred sixty-nine".