114386625 has 48 divisors (see below), whose sum is σ = 218366928. Its totient is φ = 57408000.

The previous prime is 114386599. The next prime is 114386677. The reversal of 114386625 is 526683411.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 55219761 + 59166864 = 7431^2 + 7692^2 .

It is not a de Polignac number, because 114386625 - 2⁹ = 114386113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114386625.

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 47 ways as a sum of consecutive naturals, for example, 16135 + ... + 22115.

It is an arithmetic number, because the mean of its divisors is an integer number (4549311).

Almost surely, 2^114386625 is an apocalyptic number.

114386625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114386625 is a deficient number, since it is larger than the sum of its proper divisors (103980303).

114386625 is a wasteful number, since it uses less digits than its factorization.

114386625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6019 (or 6006 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 114386625 is about 10695.1683016211. The cubic root of 114386625 is about 485.4282892668.

The spelling of 114386625 in words is "one hundred fourteen million, three hundred eighty-six thousand, six hundred twenty-five".