114803325 has 180 divisors, whose sum is σ = 269396820. Its totient is φ = 47900160.

The previous prime is 114803317. The next prime is 114803357. The reversal of 114803325 is 523308411.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 26687556 + 88115769 = 5166^2 + 9387^2 .

It is not a de Polignac number, because 114803325 - 2³ = 114803317 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1289881 + ... + 1289969.

It is an arithmetic number, because the mean of its divisors is an integer number (1496649).

Almost surely, 2^114803325 is an apocalyptic number.

114803325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114803325 is an abundant number, since it is smaller than the sum of its proper divisors (154593495).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114803325 is a wasteful number, since it uses less digits than its factorization.

114803325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 114803325 is about 10714.6313515678. The cubic root of 114803325 is about 486.0170318677.

The spelling of 114803325 in words is "one hundred fourteen million, eight hundred three thousand, three hundred twenty-five".