821304873 has 32 divisors (see below), whose sum is σ = 1252540800. Its totient is φ = 531499968.

The previous prime is 821304857. The next prime is 821304877. The reversal of 821304873 is 378403128.

It is not a de Polignac number, because 821304873 - 2⁴ = 821304857 is a prime.

It is a super-2 number, since 2×821304873² = 1349083388827092258, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (821304877) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 651718 + ... + 652976.

It is an arithmetic number, because the mean of its divisors is an integer number (39141900).

Almost surely, 2^821304873 is an apocalyptic number.

It is an amenable number.

821304873 is a deficient number, since it is larger than the sum of its proper divisors (431235927).

821304873 is a wasteful number, since it uses less digits than its factorization.

821304873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 821304873 is about 28658.4171405191. The cubic root of 821304873 is about 936.4863822393.

The spelling of 821304873 in words is "eight hundred twenty-one million, three hundred four thousand, eight hundred seventy-three".