113535 has 24 divisors (see below), whose sum is σ = 209040. Its totient is φ = 58464.

The previous prime is 113513. The next prime is 113537. The reversal of 113535 is 535311.

It is a happy number.

It is not a de Polignac number, because 113535 - 2⁸ = 113279 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 8.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113537) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3901 + ... + 3929.

It is an arithmetic number, because the mean of its divisors is an integer number (8710).

2¹¹³⁵³⁵ is an apocalyptic number.

113535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

113535 is a deficient number, since it is larger than the sum of its proper divisors (95505).

113535 is an equidigital number, since it uses as much as digits as its factorization.

113535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 37 counting only the distinct ones).

The product of its digits is 225, while the sum is 18.

The square root of 113535 is about 336.9495511200. The cubic root of 113535 is about 48.4220592476.

Adding to 113535 its reverse (535311), we get a palindrome (648846).

It can be divided in two parts, 11353 and 5, that multiplied together give a palindrome (56765).

The spelling of 113535 in words is "one hundred thirteen thousand, five hundred thirty-five".