113825 has 12 divisors (see below), whose sum is σ = 146940. Its totient is φ = 87360.

The previous prime is 113819. The next prime is 113837. The reversal of 113825 is 528311.

113825 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 6 ways, for example, as 6241 + 107584 = 79^2 + 328^2 .

It is not a de Polignac number, because 113825 - 2⁴ = 113809 is a prime.

It is a super-2 number, since 2×113825² = 25912261250, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 113797 and 113806.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 647 + ... + 803.

It is an arithmetic number, because the mean of its divisors is an integer number (12245).

2¹¹³⁸²⁵ is an apocalyptic number.

It is an amenable number.

113825 is a deficient number, since it is larger than the sum of its proper divisors (33115).

113825 is a wasteful number, since it uses less digits than its factorization.

113825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 191 counting only the distinct ones).

The product of its digits is 240, while the sum is 20.

The square root of 113825 is about 337.3796081567. The cubic root of 113825 is about 48.4632520019.

The spelling of 113825 in words is "one hundred thirteen thousand, eight hundred twenty-five".