114015 has 16 divisors (see below), whose sum is σ = 199296. Its totient is φ = 55200.

The previous prime is 114013. The next prime is 114031. The reversal of 114015 is 510411.

114015 = 149² + 150² + ... + 153².

It is a happy number.

It is not a de Polignac number, because 114015 - 2¹ = 114013 is a prime.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181 + ... + 510.

It is an arithmetic number, because the mean of its divisors is an integer number (12456).

2¹¹⁴⁰¹⁵ is an apocalyptic number.

114015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114015 is a deficient number, since it is larger than the sum of its proper divisors (85281).

114015 is a wasteful number, since it uses less digits than its factorization.

114015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710.

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 114015 is about 337.6610726750. The cubic root of 114015 is about 48.4902024351.

Subtracting from 114015 its sum of digits (12), we obtain a triangular number (114003 = T₄₇₇).

Adding to 114015 its reverse (510411), we get a palindrome (624426).

The spelling of 114015 in words is "one hundred fourteen thousand, fifteen".