113125 has 10 divisors (see below), whose sum is σ = 142142. Its totient is φ = 90000.

The previous prime is 113123. The next prime is 113131. The reversal of 113125 is 521311.

It can be written as a sum of positive squares in 5 ways, for example, as 81796 + 31329 = 286^2 + 177^2 .

It is not a de Polignac number, because 113125 - 2¹ = 113123 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113123) 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 9 ways as a sum of consecutive naturals, for example, 535 + ... + 715.

2¹¹³¹²⁵ is an apocalyptic number.

It is an amenable number.

113125 is a deficient number, since it is larger than the sum of its proper divisors (29017).

113125 is an frugal number, since it uses more digits than its factorization.

113125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 186 counting only the distinct ones).

The product of its digits is 30, while the sum is 13.

The square root of 113125 is about 336.3406011768. The cubic root of 113125 is about 48.3637013543.

Adding to 113125 its reverse (521311), we get a palindrome (634436).

It can be divided in two parts, 1131 and 25, that added together give a square (1156 = 34²).

The spelling of 113125 in words is "one hundred thirteen thousand, one hundred twenty-five".