114405 has 16 divisors (see below), whose sum is σ = 190080. Its totient is φ = 58688.

The previous prime is 114377. The next prime is 114407. The reversal of 114405 is 504411.

It is a cyclic number.

It is not a de Polignac number, because 114405 - 2⁷ = 114277 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 114405.

It is not an unprimeable number, because it can be changed into a prime (114407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304 + ... + 566.

It is an arithmetic number, because the mean of its divisors is an integer number (11880).

2¹¹⁴⁴⁰⁵ is an apocalyptic number.

114405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114405 is a deficient number, since it is larger than the sum of its proper divisors (75675).

114405 is a wasteful number, since it uses less digits than its factorization.

114405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300.

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 114405 is about 338.2380818299. The cubic root of 114405 is about 48.5454280846.

Adding to 114405 its reverse (504411), we get a palindrome (618816).

The spelling of 114405 in words is "one hundred fourteen thousand, four hundred five".