114801 has 8 divisors (see below), whose sum is σ = 162144. Its totient is φ = 72000.

The previous prime is 114799. The next prime is 114809. The reversal of 114801 is 108411.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 114801 - 2¹ = 114799 is a prime.

114801 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 114801.

It is not an unprimeable number, because it can be changed into a prime (114809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1075 + ... + 1176.

It is an arithmetic number, because the mean of its divisors is an integer number (20268).

2¹¹⁴⁸⁰¹ is an apocalyptic number.

It is an amenable number.

114801 is a deficient number, since it is larger than the sum of its proper divisors (47343).

114801 is a wasteful number, since it uses less digits than its factorization.

114801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271.

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 114801 is about 338.8229626221. The cubic root of 114801 is about 48.6013750902.

The spelling of 114801 in words is "one hundred fourteen thousand, eight hundred one".