114005 has 6 divisors (see below), whose sum is σ = 137718. Its totient is φ = 90600.

The previous prime is 114001. The next prime is 114013. The reversal of 114005 is 500411.

It can be written as a sum of positive squares in only one way, i.e., 91204 + 22801 = 302^2 + 151^2 .

It is not a de Polignac number, because 114005 - 2² = 114001 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114001) 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 5 ways as a sum of consecutive naturals, for example, 680 + ... + 830.

It is an arithmetic number, because the mean of its divisors is an integer number (22953).

2¹¹⁴⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

114005 is a deficient number, since it is larger than the sum of its proper divisors (23713).

114005 is an frugal number, since it uses more digits than its factorization.

114005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 114005 is about 337.6462646025. The cubic root of 114005 is about 48.4887847380.

Multiplying 114005 by its product of nonzero digits (20), we get a square (2280100 = 1510²).

Adding to 114005 its reverse (500411), we get a palindrome (614416).

The spelling of 114005 in words is "one hundred fourteen thousand, five".