109967 has 8 divisors (see below), whose sum is σ = 129360. Its totient is φ = 92160.

The previous prime is 109961. The next prime is 109987. The reversal of 109967 is 769901.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 109967 - 2⁶ = 109903 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109961) 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 7 ways as a sum of consecutive naturals, for example, 242 + ... + 527.

It is an arithmetic number, because the mean of its divisors is an integer number (16170).

2¹⁰⁹⁹⁶⁷ is an apocalyptic number.

109967 is a deficient number, since it is larger than the sum of its proper divisors (19393).

109967 is a wasteful number, since it uses less digits than its factorization.

109967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793.

The product of its (nonzero) digits is 3402, while the sum is 32.

The square root of 109967 is about 331.6127259319. The cubic root of 109967 is about 47.9094066715.

The spelling of 109967 in words is "one hundred nine thousand, nine hundred sixty-seven".