113735 has 12 divisors (see below), whose sum is σ = 145992. Its totient is φ = 85008.

The previous prime is 113731. The next prime is 113749. The reversal of 113735 is 537311.

It is a happy number.

It is not a de Polignac number, because 113735 - 2² = 113731 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113731) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2624 + ... + 2666.

It is an arithmetic number, because the mean of its divisors is an integer number (12166).

2¹¹³⁷³⁵ is an apocalyptic number.

113735 is a deficient number, since it is larger than the sum of its proper divisors (32257).

113735 is an equidigital number, since it uses as much as digits as its factorization.

113735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 71 counting only the distinct ones).

The product of its digits is 315, while the sum is 20.

The square root of 113735 is about 337.2462008681. The cubic root of 113735 is about 48.4504755387.

It can be divided in two parts, 11373 and 5, that multiplied together give a palindrome (56865).

The spelling of 113735 in words is "one hundred thirteen thousand, seven hundred thirty-five".