112735 has 8 divisors (see below), whose sum is σ = 154656. Its totient is φ = 77280.

The previous prime is 112691. The next prime is 112741. The reversal of 112735 is 537211.

112735 is nontrivially palindromic in base 11.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 112735 - 2⁹ = 112223 is a prime.

It is a Duffinian number.

112735 is a nontrivial repdigit in base 11.

It is a plaindrome in base 11.

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1576 + ... + 1645.

It is an arithmetic number, because the mean of its divisors is an integer number (19332).

2¹¹²⁷³⁵ is an apocalyptic number.

112735 is a deficient number, since it is larger than the sum of its proper divisors (41921).

112735 is an equidigital number, since it uses as much as digits as its factorization.

112735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3233.

The product of its digits is 210, while the sum is 19.

The square root of 112735 is about 335.7603311888. The cubic root of 112735 is about 48.3080591867.

Adding to 112735 its reverse (537211), we get a palindrome (649946).

It can be divided in two parts, 11273 and 5, that multiplied together give a palindrome (56365).

The spelling of 112735 in words is "one hundred twelve thousand, seven hundred thirty-five".