821580673 has 8 divisors (see below), whose sum is σ = 844736256. Its totient is φ = 798573600.

The previous prime is 821580667. The next prime is 821580679. The reversal of 821580673 is 376085128.

It is an interprime number because it is at equal distance from previous prime (821580667) and next prime (821580679).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 821580673 - 2⁹ = 821580161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (821580679) 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 7 ways as a sum of consecutive naturals, for example, 25861 + ... + 48082.

It is an arithmetic number, because the mean of its divisors is an integer number (105592032).

Almost surely, 2^821580673 is an apocalyptic number.

It is an amenable number.

821580673 is a deficient number, since it is larger than the sum of its proper divisors (23155583).

821580673 is a wasteful number, since it uses less digits than its factorization.

821580673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74255.

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 821580673 is about 28663.2285864660. The cubic root of 821580673 is about 936.5911967635.

It can be divided in two parts, 8215 and 80673, that added together give a palindrome (88888).

The spelling of 821580673 in words is "eight hundred twenty-one million, five hundred eighty thousand, six hundred seventy-three".