87385863321 has 27 divisors (see below), whose sum is σ = 127097233653. Its totient is φ = 57856984920.

The previous prime is 87385863307. The next prime is 87385863343. The reversal of 87385863321 is 12336858378.

The square root of 87385863321 is 295611.

It is a perfect power (a square), and thus also a powerful number.

87385863321 is a `hidden beast` number, since 8 + 7 + 3 + 8 + 586 + 33 + 21 = 666.

It is not a de Polignac number, because 87385863321 - 2¹¹ = 87385861273 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (87385863121) 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 26 ways as a sum of consecutive naturals, for example, 187121530 + ... + 187121996.

Almost surely, 2^87385863321 is an apocalyptic number.

87385863321 is the 295611-st square number.

87385863321 is the 147806-th centered octagonal number.

It is an amenable number.

87385863321 is a deficient number, since it is larger than the sum of its proper divisors (39711370332).

87385863321 is an frugal number, since it uses more digits than its factorization.

87385863321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 681 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 87385863321 in words is "eighty-seven billion, three hundred eighty-five million, eight hundred sixty-three thousand, three hundred twenty-one".