111925 has 18 divisors (see below), whose sum is σ = 156674. Its totient is φ = 79200.

The previous prime is 111919. The next prime is 111949. The reversal of 111925 is 529111.

It can be written as a sum of positive squares in 3 ways, for example, as 23716 + 88209 = 154^2 + 297^2 .

It is not a de Polignac number, because 111925 - 2⁵ = 111893 is a prime.

It is a Duffinian number.

111925 is a lucky number.

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3007 + ... + 3043.

2¹¹¹⁹²⁵ is an apocalyptic number.

It is an amenable number.

111925 is a deficient number, since it is larger than the sum of its proper divisors (44749).

111925 is a wasteful number, since it uses less digits than its factorization.

111925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 53 counting only the distinct ones).

The product of its digits is 90, while the sum is 19.

The square root of 111925 is about 334.5519391664. The cubic root of 111925 is about 48.1920833172.

It can be divided in two parts, 11 and 1925, that added together give a square (1936 = 44²).

The spelling of 111925 in words is "one hundred eleven thousand, nine hundred twenty-five".