114399 has 16 divisors (see below), whose sum is σ = 179200. Its totient is φ = 71928.

The previous prime is 114377. The next prime is 114407. The reversal of 114399 is 993411.

114399 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 114399 - 2⁸ = 114143 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

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 114399.

It is not an unprimeable number, because it can be changed into a prime (114319) 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, 402 + ... + 624.

It is an arithmetic number, because the mean of its divisors is an integer number (11200).

2¹¹⁴³⁹⁹ is an apocalyptic number.

114399 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

114399 is a deficient number, since it is larger than the sum of its proper divisors (64801).

114399 is a wasteful number, since it uses less digits than its factorization.

114399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 245 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 114399 is about 338.2292122215. The cubic root of 114399 is about 48.5445794106.

It can be divided in two parts, 1 and 14399, that added together give a square (14400 = 120²).

The spelling of 114399 in words is "one hundred fourteen thousand, three hundred ninety-nine".