111975 has 12 divisors (see below), whose sum is σ = 185256. Its totient is φ = 59680.

The previous prime is 111973. The next prime is 111977. The reversal of 111975 is 579111.

It is an interprime number because it is at equal distance from previous prime (111973) and next prime (111977).

It is not a de Polignac number, because 111975 - 2¹ = 111973 is a prime.

111975 is a lucky number.

It is a plaindrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 672 + ... + 821.

It is an arithmetic number, because the mean of its divisors is an integer number (15438).

2¹¹¹⁹⁷⁵ is an apocalyptic number.

111975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

111975 is a deficient number, since it is larger than the sum of its proper divisors (73281).

111975 is a wasteful number, since it uses less digits than its factorization.

111975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1501 counting only the distinct ones).

The product of its digits is 315, while the sum is 24.

The square root of 111975 is about 334.6266576350. The cubic root of 111975 is about 48.1992584954.

The spelling of 111975 in words is "one hundred eleven thousand, nine hundred seventy-five".