128527 has 12 divisors (see below), whose sum is σ = 155496. Its totient is φ = 105840.

The previous prime is 128521. The next prime is 128549. The reversal of 128527 is 725821.

It is not a de Polignac number, because 128527 - 2³ = 128519 is a prime.

It is a d-powerful number, because it can be written as 1 + 2¹¹ + 5³ + 8³ + 2¹³ + 7⁶ .

It is a Duffinian number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2077 + ... + 2137.

It is an arithmetic number, because the mean of its divisors is an integer number (12958).

2¹²⁸⁵²⁷ is an apocalyptic number.

128527 is a deficient number, since it is larger than the sum of its proper divisors (26969).

128527 is an equidigital number, since it uses as much as digits as its factorization.

128527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 111 counting only the distinct ones).

The product of its digits is 1120, while the sum is 25.

The square root of 128527 is about 358.5066247645. The cubic root of 128527 is about 50.4659117073.

The spelling of 128527 in words is "one hundred twenty-eight thousand, five hundred twenty-seven".