109167 has 4 divisors (see below), whose sum is σ = 145560. Its totient is φ = 72776.

The previous prime is 109159. The next prime is 109169. The reversal of 109167 is 761901.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 109167 - 2³ = 109159 is a prime.

It is a D-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 109167.

It is not an unprimeable number, because it can be changed into a prime (109169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18192 + ... + 18197.

It is an arithmetic number, because the mean of its divisors is an integer number (36390).

2¹⁰⁹¹⁶⁷ is an apocalyptic number.

109167 is a deficient number, since it is larger than the sum of its proper divisors (36393).

109167 is an equidigital number, since it uses as much as digits as its factorization.

109167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36392.

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 109167 is about 330.4042977929. The cubic root of 109167 is about 47.7929449273.

It can be divided in two parts, 109 and 167, that added together give a triangular number (276 = T₂₃).

The spelling of 109167 in words is "one hundred nine thousand, one hundred sixty-seven".