114741825 has 48 divisors (see below), whose sum is σ = 215986176. Its totient is φ = 53204800.

The previous prime is 114741799. The next prime is 114741829. The reversal of 114741825 is 528147411.

It is not a de Polignac number, because 114741825 - 2⁶ = 114741761 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114741829) 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 47 ways as a sum of consecutive naturals, for example, 15952 + ... + 21998.

It is an arithmetic number, because the mean of its divisors is an integer number (4499712).

Almost surely, 2^114741825 is an apocalyptic number.

114741825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114741825 is a deficient number, since it is larger than the sum of its proper divisors (101244351).

114741825 is a wasteful number, since it uses less digits than its factorization.

114741825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6094 (or 6089 counting only the distinct ones).

The product of its digits is 8960, while the sum is 33.

The square root of 114741825 is about 10711.7610596951. The cubic root of 114741825 is about 485.9302301239.

The spelling of 114741825 in words is "one hundred fourteen million, seven hundred forty-one thousand, eight hundred twenty-five".