114006591 has 12 divisors (see below), whose sum is σ = 164773440. Its totient is φ = 75959520.

The previous prime is 114006587. The next prime is 114006647. The reversal of 114006591 is 195600411.

114006591 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 0 + 659 + 1 = 666.

It is not a de Polignac number, because 114006591 - 2² = 114006587 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114206591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20875 + ... + 25763.

It is an arithmetic number, because the mean of its divisors is an integer number (13731120).

Almost surely, 2^114006591 is an apocalyptic number.

114006591 is a deficient number, since it is larger than the sum of its proper divisors (50766849).

114006591 is a wasteful number, since it uses less digits than its factorization.

114006591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7486 (or 7483 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 114006591 is about 10677.3868994244. The cubic root of 114006591 is about 484.8901029919.

The spelling of 114006591 in words is "one hundred fourteen million, six thousand, five hundred ninety-one".