2167165217 has 16 divisors (see below), whose sum is σ = 2517715200. Its totient is φ = 1827099072.

The previous prime is 2167165207. The next prime is 2167165223. The reversal of 2167165217 is 7125617612.

It is a cyclic number.

It is not a de Polignac number, because 2167165217 - 2¹⁰ = 2167164193 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (2167165207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97343 + ... + 117515.

It is an arithmetic number, because the mean of its divisors is an integer number (157357200).

Almost surely, 2^2167165217 is an apocalyptic number.

It is an amenable number.

2167165217 is a deficient number, since it is larger than the sum of its proper divisors (350549983).

2167165217 is a wasteful number, since it uses less digits than its factorization.

2167165217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20432.

The product of its digits is 35280, while the sum is 38.

The square root of 2167165217 is about 46552.8217941727. The cubic root of 2167165217 is about 1294.0885875472.

The spelling of 2167165217 in words is "two billion, one hundred sixty-seven million, one hundred sixty-five thousand, two hundred seventeen".