22167 has 8 divisors (see below), whose sum is σ = 32880. Its totient is φ = 14760.

The previous prime is 22159. The next prime is 22171. The reversal of 22167 is 76122.

It is a happy number.

It is not a de Polignac number, because 22167 - 2³ = 22159 is a prime.

22167 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 22167.

It is not an unprimeable number, because it can be changed into a prime (22147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 384 + ... + 437.

It is an arithmetic number, because the mean of its divisors is an integer number (4110).

2²²¹⁶⁷ is an apocalyptic number.

22167 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

22167 is a deficient number, since it is larger than the sum of its proper divisors (10713).

22167 is an equidigital number, since it uses as much as digits as its factorization.

22167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 824 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 22167 is about 148.8858623241. The cubic root of 22167 is about 28.0911147467.

Adding to 22167 its reverse (76122), we get a palindrome (98289).

It can be divided in two parts, 2 and 2167, that multiplied together give a palindrome (4334).

The spelling of 22167 in words is "twenty-two thousand, one hundred sixty-seven".