8217603801 has 81 divisors (see below), whose sum is σ = 13575608319. Its totient is φ = 4786372800.

The previous prime is 8217603799. The next prime is 8217603817. The reversal of 8217603801 is 1083067128.

The square root of 8217603801 is 90651.

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

8217603801 is a `hidden beast` number, since 8 + 217 + 60 + 380 + 1 = 666.

8217603801 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 395970201 + 7821633600 = 19899^2 + 88440^2 .

It is not a de Polignac number, because 8217603801 - 2¹ = 8217603799 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8217603301) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 122650770 + ... + 122650836.

Almost surely, 2^8217603801 is an apocalyptic number.

8217603801 is the 90651-st square number.

8217603801 is the 45326-th centered octagonal number.

It is an amenable number.

8217603801 is a deficient number, since it is larger than the sum of its proper divisors (5358004518).

8217603801 is a wasteful number, since it uses less digits than its factorization.

8217603801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The cubic root of 8217603801 is about 2017.9716758083.

Multiplying 8217603801 by its sum of digits (36), we get a square (295833736836 = 543906²).

The spelling of 8217603801 in words is "eight billion, two hundred seventeen million, six hundred three thousand, eight hundred one".