113325 has 12 divisors (see below), whose sum is σ = 187488. Its totient is φ = 60400.

The previous prime is 113287. The next prime is 113327. The reversal of 113325 is 523311.

It is a happy number.

It is not a de Polignac number, because 113325 - 2¹² = 109229 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a d-powerful number, because it can be written as 1 + 1 + 3⁵ + 3⁷ + 2¹⁵ + 5⁷ .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 113325.

It is not an unprimeable number, because it can be changed into a prime (113327) 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 11 ways as a sum of consecutive naturals, for example, 681 + ... + 830.

It is an arithmetic number, because the mean of its divisors is an integer number (15624).

2¹¹³³²⁵ is an apocalyptic number.

113325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113325 is a deficient number, since it is larger than the sum of its proper divisors (74163).

113325 is a wasteful number, since it uses less digits than its factorization.

113325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1519 counting only the distinct ones).

The product of its digits is 90, while the sum is 15.

The square root of 113325 is about 336.6377875403. The cubic root of 113325 is about 48.3921862030.

Adding to 113325 its reverse (523311), we get a palindrome (636636).

The spelling of 113325 in words is "one hundred thirteen thousand, three hundred twenty-five".