114008 has 8 divisors (see below), whose sum is σ = 213780. Its totient is φ = 57000.

The previous prime is 114001. The next prime is 114013. The reversal of 114008 is 800411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (8).

It is a junction number, because it is equal to n+sod(n) for n = 113983 and 114001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114001) by changing a digit.

114008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7118 + ... + 7133.

2¹¹⁴⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

114008 is a deficient number, since it is larger than the sum of its proper divisors (99772).

114008 is a wasteful number, since it uses less digits than its factorization.

114008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14257 (or 14253 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 114008 is about 337.6507070924. The cubic root of 114008 is about 48.4892100559.

Adding to 114008 its reverse (800411), we get a palindrome (914419).

The spelling of 114008 in words is "one hundred fourteen thousand, eight".