111385 has 4 divisors (see below), whose sum is σ = 133668. Its totient is φ = 89104.

The previous prime is 111373. The next prime is 111409. The reversal of 111385 is 583111.

111385 = T₂₇₁ + T₂₇₂ + T₂₇₃.

111385 = 101² + 102² + ... + 110².

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 583111 = 389 ⋅1499.

It can be written as a sum of positive squares in 2 ways, for example, as 68121 + 43264 = 261^2 + 208^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111385 is a prime.

It is a Duffinian number.

111385 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11134 + ... + 11143.

It is an arithmetic number, because the mean of its divisors is an integer number (33417).

2¹¹¹³⁸⁵ is an apocalyptic number.

111385 is the 273-rd centered triangular number.

It is an amenable number.

111385 is a deficient number, since it is larger than the sum of its proper divisors (22283).

111385 is an equidigital number, since it uses as much as digits as its factorization.

111385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22282.

The product of its digits is 120, while the sum is 19.

The square root of 111385 is about 333.7439138022. The cubic root of 111385 is about 48.1144548774.

Adding to 111385 its reverse (583111), we get a palindrome (694496).

It can be divided in two parts, 111 and 385, that added together give a triangular number (496 = T₃₁).

The spelling of 111385 in words is "one hundred eleven thousand, three hundred eighty-five".