114007 has 4 divisors (see below), whose sum is σ = 114840. Its totient is φ = 113176.

The previous prime is 114001. The next prime is 114013. The reversal of 114007 is 700411.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 700411 = 163 ⋅4297.

It is an interprime number because it is at equal distance from previous prime (114001) and next prime (114013).

It is a cyclic number.

It is not a de Polignac number, because 114007 - 2¹¹ = 111959 is a prime.

It is a Duffinian number.

It is a congruent number.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 157 + ... + 502.

It is an arithmetic number, because the mean of its divisors is an integer number (28710).

2¹¹⁴⁰⁰⁷ is an apocalyptic number.

114007 is a deficient number, since it is larger than the sum of its proper divisors (833).

114007 is an equidigital number, since it uses as much as digits as its factorization.

114007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832.

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 114007 is about 337.6492262689. The cubic root of 114007 is about 48.4890682841.

Adding to 114007 its reverse (700411), we get a palindrome (814418).

It can be divided in two parts, 11400 and 7, that multiplied together give a triangular number (79800 = T₃₉₉).

The spelling of 114007 in words is "one hundred fourteen thousand, seven", and thus it is an iban number.