114115617 has 48 divisors (see below), whose sum is σ = 209064960. Its totient is φ = 58255200.

The previous prime is 114115601. The next prime is 114115633. The reversal of 114115617 is 716511411.

114115617 is a `hidden beast` number, since 1 + 1 + 41 + 1 + 5 + 617 = 666.

It is an interprime number because it is at equal distance from previous prime (114115601) and next prime (114115633).

It is not a de Polignac number, because 114115617 - 2⁴ = 114115601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114115637) 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 47 ways as a sum of consecutive naturals, for example, 39492 + ... + 42282.

It is an arithmetic number, because the mean of its divisors is an integer number (4355520).

Almost surely, 2^114115617 is an apocalyptic number.

It is an amenable number.

114115617 is a deficient number, since it is larger than the sum of its proper divisors (94949343).

114115617 is a wasteful number, since it uses less digits than its factorization.

114115617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2874 (or 2871 counting only the distinct ones).

The product of its digits is 840, while the sum is 27.

The square root of 114115617 is about 10682.4911420511. The cubic root of 114115617 is about 485.0446226701.

The spelling of 114115617 in words is "one hundred fourteen million, one hundred fifteen thousand, six hundred seventeen".