128107617 has 16 divisors (see below), whose sum is σ = 186529728. Its totient is φ = 77561280.

The previous prime is 128107607. The next prime is 128107649. The reversal of 128107617 is 716701821.

It is not a de Polignac number, because 128107617 - 2⁴ = 128107601 is a prime.

It is a super-3 number, since 3×128107617³ (a number of 25 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (128107607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54723 + ... + 57015.

It is an arithmetic number, because the mean of its divisors is an integer number (11658108).

Almost surely, 2^128107617 is an apocalyptic number.

It is an amenable number.

128107617 is a deficient number, since it is larger than the sum of its proper divisors (58422111).

128107617 is a wasteful number, since it uses less digits than its factorization.

128107617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4000.

The product of its (nonzero) digits is 4704, while the sum is 33.

The square root of 128107617 is about 11318.4635441388. The cubic root of 128107617 is about 504.1096188561.

The spelling of 128107617 in words is "one hundred twenty-eight million, one hundred seven thousand, six hundred seventeen".