128025 has 18 divisors (see below), whose sum is σ = 229710. Its totient is φ = 68160.

The previous prime is 128021. The next prime is 128033. The reversal of 128025 is 520821.

128025 = 24² + 25² + ... + 73².

It can be written as a sum of positive squares in 3 ways, for example, as 576 + 127449 = 24^2 + 357^2 .

It is not a de Polignac number, because 128025 - 2² = 128021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 127989 and 128007.

It is not an unprimeable number, because it can be changed into a prime (128021) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 60 + ... + 509.

2¹²⁸⁰²⁵ is an apocalyptic number.

128025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

128025 is a deficient number, since it is larger than the sum of its proper divisors (101685).

128025 is a wasteful number, since it uses less digits than its factorization.

128025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 128025 is about 357.8058132563. The cubic root of 128025 is about 50.4001228266.

Adding to 128025 its reverse (520821), we get a palindrome (648846).

The spelling of 128025 in words is "one hundred twenty-eight thousand, twenty-five".