828643761 has 24 divisors (see below), whose sum is σ = 1312334400. Its totient is φ = 499672800.

The previous prime is 828643729. The next prime is 828643771. The reversal of 828643761 is 167346828.

828643761 is a `hidden beast` number, since 82 + 86 + 437 + 61 = 666.

It is not a de Polignac number, because 828643761 - 2⁵ = 828643729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (828643771) 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 23 ways as a sum of consecutive naturals, for example, 1330 + ... + 40731.

It is an arithmetic number, because the mean of its divisors is an integer number (54680600).

Almost surely, 2^828643761 is an apocalyptic number.

It is an amenable number.

828643761 is a deficient number, since it is larger than the sum of its proper divisors (483690639).

828643761 is a wasteful number, since it uses less digits than its factorization.

828643761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42277 (or 42274 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 828643761 is about 28786.1730870917. The cubic root of 828643761 is about 939.2674846239.

The spelling of 828643761 in words is "eight hundred twenty-eight million, six hundred forty-three thousand, seven hundred sixty-one".