112553 has 6 divisors (see below), whose sum is σ = 130986. Its totient is φ = 96432.

The previous prime is 112543. The next prime is 112559. The reversal of 112553 is 355211.

It can be written as a sum of positive squares in only one way, i.e., 94864 + 17689 = 308^2 + 133^2 .

It is not a de Polignac number, because 112553 - 2⁸ = 112297 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (112559) 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 5 ways as a sum of consecutive naturals, for example, 1100 + ... + 1197.

It is an arithmetic number, because the mean of its divisors is an integer number (21831).

2¹¹²⁵⁵³ is an apocalyptic number.

It is an amenable number.

112553 is a deficient number, since it is larger than the sum of its proper divisors (18433).

112553 is an equidigital number, since it uses as much as digits as its factorization.

112553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311 (or 2304 counting only the distinct ones).

The product of its digits is 150, while the sum is 17.

The square root of 112553 is about 335.4891950570. The cubic root of 112553 is about 48.2820489197.

Adding to 112553 its reverse (355211), we get a palindrome (467764).

The spelling of 112553 in words is "one hundred twelve thousand, five hundred fifty-three".