113488 has 20 divisors (see below), whose sum is σ = 226548. Its totient is φ = 55040.

The previous prime is 113467. The next prime is 113489. The reversal of 113488 is 884311.

It can be written as a sum of positive squares in 2 ways, for example, as 51984 + 61504 = 228^2 + 248^2 .

It is a super-2 number, since 2×113488² = 25759052288, which contains 22 as substring.

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113489) by changing a digit.

113488 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 570 + ... + 742.

2¹¹³⁴⁸⁸ is an apocalyptic number.

It is an amenable number.

113488 is a deficient number, since it is larger than the sum of its proper divisors (113060).

113488 is a wasteful number, since it uses less digits than its factorization.

113488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 216 counting only the distinct ones).

The product of its digits is 768, while the sum is 25.

The square root of 113488 is about 336.8798005224. The cubic root of 113488 is about 48.4153765774.

Adding to 113488 its reverse (884311), we get a palindrome (997799).

The spelling of 113488 in words is "one hundred thirteen thousand, four hundred eighty-eight".