87584007321 has 40 divisors (see below), whose sum is σ = 134448462720. Its totient is φ = 56778695712.

The previous prime is 87584007319. The next prime is 87584007347. The reversal of 87584007321 is 12370048578.

It is not a de Polignac number, because 87584007321 - 2¹ = 87584007319 is a prime.

It is not an unprimeable number, because it can be changed into a prime (87584007311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5923680 + ... + 5938446.

It is an arithmetic number, because the mean of its divisors is an integer number (3361211568).

Almost surely, 2^87584007321 is an apocalyptic number.

87584007321 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

87584007321 is a deficient number, since it is larger than the sum of its proper divisors (46864455399).

87584007321 is a wasteful number, since it uses less digits than its factorization.

87584007321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16795 (or 16786 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 87584007321 in words is "eighty-seven billion, five hundred eighty-four million, seven thousand, three hundred twenty-one".