2217661801 has 2 divisors, whose sum is σ = 2217661802. Its totient is φ = 2217661800.

The previous prime is 2217661799. The next prime is 2217661819. The reversal of 2217661801 is 1081667122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2102314201 + 115347600 = 45851^2 + 10740^2 .

It is a cyclic number.

It is not a de Polignac number, because 2217661801 - 2¹ = 2217661799 is a prime.

It is a super-3 number, since 3×2217661801³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 2217661799, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2217661841) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1108830900 + 1108830901.

It is an arithmetic number, because the mean of its divisors is an integer number (1108830901).

Almost surely, 2^2217661801 is an apocalyptic number.

It is an amenable number.

2217661801 is a deficient number, since it is larger than the sum of its proper divisors (1).

2217661801 is an equidigital number, since it uses as much as digits as its factorization.

2217661801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 2217661801 is about 47092.0566656416. The cubic root of 2217661801 is about 1304.0625967746.

The spelling of 2217661801 in words is "two billion, two hundred seventeen million, six hundred sixty-one thousand, eight hundred one".