113165617 has 16 divisors (see below), whose sum is σ = 123454800. Its totient is φ = 103311360.

The previous prime is 113165561. The next prime is 113165621. The reversal of 113165617 is 716561311.

It can be written as a sum of positive squares in 8 ways, for example, as 720801 + 112444816 = 849^2 + 10604^2 .

It is a cyclic number.

It is not a de Polignac number, because 113165617 - 2¹⁵ = 113132849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113165677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159259 + ... + 159967.

It is an arithmetic number, because the mean of its divisors is an integer number (7715925).

Almost surely, 2^113165617 is an apocalyptic number.

113165617 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

113165617 is a deficient number, since it is larger than the sum of its proper divisors (10289183).

113165617 is a wasteful number, since it uses less digits than its factorization.

113165617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996.

The product of its digits is 3780, while the sum is 31.

The square root of 113165617 is about 10637.9329289106. The cubic root of 113165617 is about 483.6948891496.

The spelling of 113165617 in words is "one hundred thirteen million, one hundred sixty-five thousand, six hundred seventeen".