128584953 has 24 divisors (see below), whose sum is σ = 218008128. Its totient is φ = 71489952.

The previous prime is 128584933. The next prime is 128585021. The reversal of 128584953 is 359485821.

128584953 is a `hidden beast` number, since 12 + 8 + 584 + 9 + 53 = 666.

It is not a de Polignac number, because 128584953 - 2¹³ = 128576761 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 128584899 and 128584908.

It is not an unprimeable number, because it can be changed into a prime (128584933) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25251 + ... + 29912.

It is an arithmetic number, because the mean of its divisors is an integer number (9083672).

Almost surely, 2^128584953 is an apocalyptic number.

It is an amenable number.

128584953 is a deficient number, since it is larger than the sum of its proper divisors (89423175).

128584953 is a wasteful number, since it uses less digits than its factorization.

128584953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55213 (or 55210 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 128584953 is about 11339.5305458383. The cubic root of 128584953 is about 504.7349561710.

The spelling of 128584953 in words is "one hundred twenty-eight million, five hundred eighty-four thousand, nine hundred fifty-three".