111749 has 4 divisors (see below), whose sum is σ = 121920. Its totient is φ = 101580.

The previous prime is 111733. The next prime is 111751. The reversal of 111749 is 947111.

111749 = 192² + 193² + 194².

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 111749 - 2⁴ = 111733 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111779) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5069 + ... + 5090.

It is an arithmetic number, because the mean of its divisors is an integer number (30480).

2¹¹¹⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

111749 is a deficient number, since it is larger than the sum of its proper divisors (10171).

111749 is a wasteful number, since it uses less digits than its factorization.

111749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10170.

The product of its digits is 252, while the sum is 23.

The square root of 111749 is about 334.2887972996. The cubic root of 111749 is about 48.1668096775.

The spelling of 111749 in words is "one hundred eleven thousand, seven hundred forty-nine".