114900933 has 48 divisors (see below), whose sum is σ = 184187520. Its totient is φ = 63504000.

The previous prime is 114900917. The next prime is 114900937. The reversal of 114900933 is 339009411.

It is not a de Polignac number, because 114900933 - 2⁴ = 114900917 is a prime.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 114900933.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114900937) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1054083 + ... + 1054191.

It is an arithmetic number, because the mean of its divisors is an integer number (3837240).

Almost surely, 2^114900933 is an apocalyptic number.

It is an amenable number.

114900933 is a deficient number, since it is larger than the sum of its proper divisors (69286587).

114900933 is a wasteful number, since it uses less digits than its factorization.

114900933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 114900933 is about 10719.1852768762. The cubic root of 114900933 is about 486.1547331994.

The spelling of 114900933 in words is "one hundred fourteen million, nine hundred thousand, nine hundred thirty-three".