114580017 has 12 divisors (see below), whose sum is σ = 175240260. Its totient is φ = 71893248.

The previous prime is 114580003. The next prime is 114580019. The reversal of 114580017 is 710085411.

It can be written as a sum of positive squares in 2 ways, for example, as 54997056 + 59582961 = 7416^2 + 7719^2 .

It is not a de Polignac number, because 114580017 - 2¹⁴ = 114563633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114580019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 374292 + ... + 374597.

It is an arithmetic number, because the mean of its divisors is an integer number (14603355).

Almost surely, 2^114580017 is an apocalyptic number.

114580017 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

114580017 is a deficient number, since it is larger than the sum of its proper divisors (60660243).

114580017 is a wasteful number, since it uses less digits than its factorization.

114580017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748912 (or 748909 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 114580017 is about 10704.2055753802. The cubic root of 114580017 is about 485.7017043660.

The spelling of 114580017 in words is "one hundred fourteen million, five hundred eighty thousand, seventeen".