115825 has 12 divisors (see below), whose sum is σ = 148428. Its totient is φ = 89600.

The previous prime is 115823. The next prime is 115831. The reversal of 115825 is 528511.

It can be written as a sum of positive squares in 6 ways, for example, as 53824 + 62001 = 232^2 + 249^2 .

It is not a de Polignac number, because 115825 - 2¹ = 115823 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 115796 and 115805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 969 + ... + 1081.

It is an arithmetic number, because the mean of its divisors is an integer number (12369).

2¹¹⁵⁸²⁵ is an apocalyptic number.

It is an amenable number.

115825 is a deficient number, since it is larger than the sum of its proper divisors (32603).

115825 is a wasteful number, since it uses less digits than its factorization.

115825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 159 counting only the distinct ones).

The product of its digits is 400, while the sum is 22.

The square root of 115825 is about 340.3307215048. The cubic root of 115825 is about 48.7454521289.

Subtracting 115825 from its reverse (528511), we obtain a triangular number (412686 = T₉₀₈).

The spelling of 115825 in words is "one hundred fifteen thousand, eight hundred twenty-five".