113265 has 16 divisors (see below), whose sum is σ = 201600. Its totient is φ = 60336.

The previous prime is 113233. The next prime is 113279. The reversal of 113265 is 562311.

It is not a de Polignac number, because 113265 - 2⁵ = 113233 is a prime.

It is a Curzon number.

113265 is a lucky number.

It is a plaindrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285 + ... + 554.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2¹¹³²⁶⁵ is an apocalyptic number.

113265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113265 is a deficient number, since it is larger than the sum of its proper divisors (88335).

113265 is an equidigital number, since it uses as much as digits as its factorization.

113265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 847 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 113265 is about 336.5486591862. The cubic root of 113265 is about 48.3836442698.

Adding to 113265 its reverse (562311), we get a palindrome (675576).

It can be divided in two parts, 113 and 265, that added together give a triangular number (378 = T₂₇).

The spelling of 113265 in words is "one hundred thirteen thousand, two hundred sixty-five".