221071167 has 16 divisors (see below), whose sum is σ = 328241760. Its totient is φ = 147052800.

The previous prime is 221071153. The next prime is 221071187. The reversal of 221071167 is 761170122.

It is not a de Polignac number, because 221071167 - 2¹¹ = 221069119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 221071167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221071117) 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, 3567 + ... + 21327.

It is an arithmetic number, because the mean of its divisors is an integer number (20515110).

Almost surely, 2^221071167 is an apocalyptic number.

221071167 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

221071167 is a deficient number, since it is larger than the sum of its proper divisors (107170593).

221071167 is a wasteful number, since it uses less digits than its factorization.

221071167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18231 (or 18225 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 221071167 is about 14868.4621598873. The cubic root of 221071167 is about 604.6592503238.

The spelling of 221071167 in words is "two hundred twenty-one million, seventy-one thousand, one hundred sixty-seven".