114165 has 24 divisors (see below), whose sum is σ = 205920. Its totient is φ = 58464.

The previous prime is 114161. The next prime is 114167. The reversal of 114165 is 561411.

It is not a de Polignac number, because 114165 - 2² = 114161 is a prime.

It is a Curzon number.

114165 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114161) 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 23 ways as a sum of consecutive naturals, for example, 1906 + ... + 1964.

It is an arithmetic number, because the mean of its divisors is an integer number (8580).

2¹¹⁴¹⁶⁵ is an apocalyptic number.

114165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114165 is a deficient number, since it is larger than the sum of its proper divisors (91755).

114165 is a wasteful number, since it uses less digits than its factorization.

114165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 110 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 114165 is about 337.8831158848. The cubic root of 114165 is about 48.5114579511.

Adding to 114165 its reverse (561411), we get a palindrome (675576).

The spelling of 114165 in words is "one hundred fourteen thousand, one hundred sixty-five".