221967161 has 16 divisors (see below), whose sum is σ = 252510720. Its totient is φ = 193656960.

The previous prime is 221967133. The next prime is 221967167. The reversal of 221967161 is 161769122.

It is a cyclic number.

It is not a de Polignac number, because 221967161 - 2¹⁰ = 221966137 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221967167) 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 15 ways as a sum of consecutive naturals, for example, 10925 + ... + 23733.

It is an arithmetic number, because the mean of its divisors is an integer number (15781920).

Almost surely, 2^221967161 is an apocalyptic number.

It is an amenable number.

221967161 is a deficient number, since it is larger than the sum of its proper divisors (30543559).

221967161 is a wasteful number, since it uses less digits than its factorization.

221967161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12896.

The product of its digits is 9072, while the sum is 35.

The square root of 221967161 is about 14898.5623803104. The cubic root of 221967161 is about 605.4750370599.

The spelling of 221967161 in words is "two hundred twenty-one million, nine hundred sixty-seven thousand, one hundred sixty-one".