114915 has 16 divisors (see below), whose sum is σ = 188928. Its totient is φ = 59616.

The previous prime is 114913. The next prime is 114941. The reversal of 114915 is 519411.

It is not a de Polignac number, because 114915 - 2¹ = 114913 is a prime.

114915 is a lucky number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 114891 and 114900.

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 114915.

It is not an unprimeable number, because it can be changed into a prime (114913) 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, 624 + ... + 786.

It is an arithmetic number, because the mean of its divisors is an integer number (11808).

2¹¹⁴⁹¹⁵ is an apocalyptic number.

114915 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114915 is a deficient number, since it is larger than the sum of its proper divisors (74013).

114915 is a wasteful number, since it uses less digits than its factorization.

114915 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218.

The product of its digits is 180, while the sum is 21.

The square root of 114915 is about 338.9911503270. The cubic root of 114915 is about 48.6174571911.

Subtracting 114915 from its reverse (519411), we obtain a square (404496 = 636²).

The spelling of 114915 in words is "one hundred fourteen thousand, nine hundred fifteen".