114525 has 18 divisors (see below), whose sum is σ = 205530. Its totient is φ = 60960.

The previous prime is 114493. The next prime is 114547. The reversal of 114525 is 525411.

It can be written as a sum of positive squares in 3 ways, for example, as 19044 + 95481 = 138^2 + 309^2 .

It is not a de Polignac number, because 114525 - 2⁵ = 114493 is a prime.

It is an Ulam number.

114525 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 114498 and 114507.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 30 + ... + 479.

2¹¹⁴⁵²⁵ is an apocalyptic number.

114525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114525 is a deficient number, since it is larger than the sum of its proper divisors (91005).

114525 is a wasteful number, since it uses less digits than its factorization.

114525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 517 counting only the distinct ones).

The product of its digits is 200, while the sum is 18.

The square root of 114525 is about 338.4154251804. The cubic root of 114525 is about 48.5623953377.

Adding to 114525 its reverse (525411), we get a palindrome (639936).

The spelling of 114525 in words is "one hundred fourteen thousand, five hundred twenty-five".