113301585 has 40 divisors (see below), whose sum is σ = 208620456. Its totient is φ = 58786560.

The previous prime is 113301581. The next prime is 113301599. The reversal of 113301585 is 585103311.

It can be written as a sum of positive squares in 4 ways, for example, as 18122049 + 95179536 = 4257^2 + 9756^2 .

It is not a de Polignac number, because 113301585 - 2² = 113301581 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113301581) 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 39 ways as a sum of consecutive naturals, for example, 11205 + ... + 18765.

Almost surely, 2^113301585 is an apocalyptic number.

113301585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113301585 is a deficient number, since it is larger than the sum of its proper divisors (95318871).

113301585 is an equidigital number, since it uses as much as digits as its factorization.

113301585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7615 (or 7606 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 113301585 is about 10644.3217256902. The cubic root of 113301585 is about 483.8885307238. Note that the first 3 decimals are identical.

Adding to 113301585 its reverse (585103311), we get a palindrome (698404896).

The spelling of 113301585 in words is "one hundred thirteen million, three hundred one thousand, five hundred eighty-five".