128686337 has 8 divisors (see below), whose sum is σ = 138827304. Its totient is φ = 118579968.

The previous prime is 128686319. The next prime is 128686367. The reversal of 128686337 is 733686821.

It is a Cunningham number, because it is equal to 11344²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 128686336 = 1^2 + 11344^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 128686337 - 2¹² = 128682241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (128686307) 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 7 ways as a sum of consecutive naturals, for example, 638 + ... + 16055.

It is an arithmetic number, because the mean of its divisors is an integer number (17353413).

Almost surely, 2^128686337 is an apocalyptic number.

It is an amenable number.

128686337 is a deficient number, since it is larger than the sum of its proper divisors (10140967).

128686337 is a wasteful number, since it uses less digits than its factorization.

128686337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17299.

The product of its digits is 290304, while the sum is 44.

The square root of 128686337 is about 11344.0000440762. Note that the first 4 decimals coincide. The cubic root of 128686337 is about 504.8675756429.

The spelling of 128686337 in words is "one hundred twenty-eight million, six hundred eighty-six thousand, three hundred thirty-seven".