8217168201 has 72 divisors (see below), whose sum is σ = 13668450432. Its totient is φ = 4929012000.

The previous prime is 8217168149. The next prime is 8217168251. The reversal of 8217168201 is 1028617128.

It is not a de Polignac number, because 8217168201 - 2⁶ = 8217168137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8217168251) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2968320 + ... + 2971086.

Almost surely, 2^8217168201 is an apocalyptic number.

8217168201 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

8217168201 is a deficient number, since it is larger than the sum of its proper divisors (5451282231).

8217168201 is a wasteful number, since it uses less digits than its factorization.

8217168201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2905 (or 2882 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 8217168201 is about 90648.5973471184. The cubic root of 8217168201 is about 2017.9360188611.

The spelling of 8217168201 in words is "eight billion, two hundred seventeen million, one hundred sixty-eight thousand, two hundred one".