216120167 has 16 divisors (see below), whose sum is σ = 243311040. Its totient is φ = 190874112.

The previous prime is 216120137. The next prime is 216120173. The reversal of 216120167 is 761021612.

It is a cyclic number.

It is not a de Polignac number, because 216120167 - 2¹⁰ = 216119143 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216120137) 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, 15509 + ... + 25937.

It is an arithmetic number, because the mean of its divisors is an integer number (15206940).

Almost surely, 2^216120167 is an apocalyptic number.

216120167 is a deficient number, since it is larger than the sum of its proper divisors (27190873).

216120167 is a wasteful number, since it uses less digits than its factorization.

216120167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10522.

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 216120167 is about 14701.0260526264. The cubic root of 216120167 is about 600.1112451137. Note that the first 3 decimals are identical.

Adding to 216120167 its reverse (761021612), we get a palindrome (977141779).

The spelling of 216120167 in words is "two hundred sixteen million, one hundred twenty thousand, one hundred sixty-seven".