111285 has 12 divisors (see below), whose sum is σ = 192972. Its totient is φ = 59328.

The previous prime is 111271. The next prime is 111301. The reversal of 111285 is 582111.

It can be written as a sum of positive squares in 2 ways, for example, as 62001 + 49284 = 249^2 + 222^2 .

It is not a de Polignac number, because 111285 - 2⁴ = 111269 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1192 + ... + 1281.

It is an arithmetic number, because the mean of its divisors is an integer number (16081).

2¹¹¹²⁸⁵ is an apocalyptic number.

111285 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

111285 is a deficient number, since it is larger than the sum of its proper divisors (81687).

111285 is a wasteful number, since it uses less digits than its factorization.

111285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2484 (or 2481 counting only the distinct ones).

The product of its digits is 80, while the sum is 18.

The square root of 111285 is about 333.5940646954. The cubic root of 111285 is about 48.1000517229.

Adding to 111285 its reverse (582111), we get a palindrome (693396).

It can be divided in two parts, 11 and 1285, that added together give a 4-th power (1296 = 6⁴).

The spelling of 111285 in words is "one hundred eleven thousand, two hundred eighty-five".