111607 has 4 divisors (see below), whose sum is σ = 112320. Its totient is φ = 110896.

The previous prime is 111599. The next prime is 111611. The reversal of 111607 is 706111.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 111607 - 2³ = 111599 is a prime.

It is a super-2 number, since 2×111607² = 24912244898, which contains 22 as substring.

It is a Duffinian number.

111607 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7 + ... + 472.

It is an arithmetic number, because the mean of its divisors is an integer number (28080).

2¹¹¹⁶⁰⁷ is an apocalyptic number.

111607 is a deficient number, since it is larger than the sum of its proper divisors (713).

111607 is an equidigital number, since it uses as much as digits as its factorization.

111607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712.

The product of its (nonzero) digits is 42, while the sum is 16.

The square root of 111607 is about 334.0763385815. The cubic root of 111607 is about 48.1463990964.

Adding to 111607 its reverse (706111), we get a palindrome (817718).

The spelling of 111607 in words is "one hundred eleven thousand, six hundred seven".