113625 has 24 divisors (see below), whose sum is σ = 206856. Its totient is φ = 60000.

The previous prime is 113623. The next prime is 113647. The reversal of 113625 is 526311.

It can be written as a sum of positive squares in 4 ways, for example, as 729 + 112896 = 27^2 + 336^2 .

It is not a de Polignac number, because 113625 - 2¹ = 113623 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 113598 and 113607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1075 + ... + 1175.

It is an arithmetic number, because the mean of its divisors is an integer number (8619).

2¹¹³⁶²⁵ is an apocalyptic number.

113625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113625 is a deficient number, since it is larger than the sum of its proper divisors (93231).

113625 is a wasteful number, since it uses less digits than its factorization.

113625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 109 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 113625 is about 337.0830758137. The cubic root of 113625 is about 48.4348507049.

Adding to 113625 its reverse (526311), we get a palindrome (639936).

Subtracting 113625 from its reverse (526311), we obtain a triangular number (412686 = T₉₀₈).

The spelling of 113625 in words is "one hundred thirteen thousand, six hundred twenty-five".