828773681 has 12 divisors (see below), whose sum is σ = 884922588. Its totient is φ = 776009472.

The previous prime is 828773677. The next prime is 828773731. The reversal of 828773681 is 186377828.

It can be written as a sum of positive squares in 6 ways, for example, as 144480400 + 684293281 = 12020^2 + 26159^2 .

It is not a de Polignac number, because 828773681 - 2² = 828773677 is a prime.

It is a super-2 number, since 2×828773681² = 1373731628636579522, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (828773081) 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, 49655 + ... + 64211.

It is an arithmetic number, because the mean of its divisors is an integer number (73743549).

Almost surely, 2^828773681 is an apocalyptic number.

It is an amenable number.

828773681 is a deficient number, since it is larger than the sum of its proper divisors (56148907).

828773681 is a wasteful number, since it uses less digits than its factorization.

828773681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14788 (or 14771 counting only the distinct ones).

The product of its digits is 903168, while the sum is 50.

The square root of 828773681 is about 28788.4296376166. The cubic root of 828773681 is about 939.3165701539.

The spelling of 828773681 in words is "eight hundred twenty-eight million, seven hundred seventy-three thousand, six hundred eighty-one".