113355 has 24 divisors (see below), whose sum is σ = 215280. Its totient is φ = 54720.

The previous prime is 113341. The next prime is 113357. The reversal of 113355 is 553311.

113355 = 61² + 62² + ... + 82².

It is a happy number.

It is not a de Polignac number, because 113355 - 2⁷ = 113227 is a prime.

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

It is a plaindrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113357) 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 23 ways as a sum of consecutive naturals, for example, 381 + ... + 609.

It is an arithmetic number, because the mean of its divisors is an integer number (8970).

2¹¹³³⁵⁵ is an apocalyptic number.

113355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

113355 is a deficient number, since it is larger than the sum of its proper divisors (101925).

113355 is a wasteful number, since it uses less digits than its factorization.

113355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 248 counting only the distinct ones).

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

The square root of 113355 is about 336.6823428694. The cubic root of 113355 is about 48.3964560390.

Adding to 113355 its reverse (553311), we get a palindrome (666666).

The spelling of 113355 in words is "one hundred thirteen thousand, three hundred fifty-five".