111967 has 8 divisors (see below), whose sum is σ = 120960. Its totient is φ = 103320.

The previous prime is 111959. The next prime is 111973. The reversal of 111967 is 769111.

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 111967 - 2³ = 111959 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111977) 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, 1308 + ... + 1390.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2¹¹¹⁹⁶⁷ is an apocalyptic number.

111967 is a deficient number, since it is larger than the sum of its proper divisors (8993).

111967 is an equidigital number, since it uses as much as digits as its factorization.

111967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173.

The product of its digits is 378, while the sum is 25.

The square root of 111967 is about 334.6147038013. The cubic root of 111967 is about 48.1981106104.

The spelling of 111967 in words is "one hundred eleven thousand, nine hundred sixty-seven".