821065032 has 64 divisors (see below), whose sum is σ = 2298225600. Its totient is φ = 271589760.

The previous prime is 821065013. The next prime is 821065061. The reversal of 821065032 is 230560128.

821065032 is a `hidden beast` number, since 8 + 2 + 1 + 0 + 650 + 3 + 2 = 666.

It is a super-2 number, since 2×821065032² = 1348295573546322048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 821064987 and 821065005.

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, 13788 + ... + 42804.

It is an arithmetic number, because the mean of its divisors is an integer number (35909775).

Almost surely, 2^821065032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 821065032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149112800).

821065032 is an abundant number, since it is smaller than the sum of its proper divisors (1477160568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

821065032 is a wasteful number, since it uses less digits than its factorization.

821065032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29163 (or 29153 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 821065032 is about 28654.2323575419. The cubic root of 821065032 is about 936.3952144302.

The spelling of 821065032 in words is "eight hundred twenty-one million, sixty-five thousand, thirty-two".