111825 has 36 divisors (see below), whose sum is σ = 232128. Its totient is φ = 50400.

The previous prime is 111821. The next prime is 111827. The reversal of 111825 is 528111.

It is not a de Polignac number, because 111825 - 2² = 111821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111798 and 111807.

It is not an unprimeable number, because it can be changed into a prime (111821) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1540 + ... + 1610.

It is an arithmetic number, because the mean of its divisors is an integer number (6448).

2¹¹¹⁸²⁵ is an apocalyptic number.

111825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

111825 is an abundant number, since it is smaller than the sum of its proper divisors (120303).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111825 is a wasteful number, since it uses less digits than its factorization.

111825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 86 counting only the distinct ones).

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

The square root of 111825 is about 334.4024521441. The cubic root of 111825 is about 48.1777265477.

Adding to 111825 its reverse (528111), we get a palindrome (639936).

The spelling of 111825 in words is "one hundred eleven thousand, eight hundred twenty-five".