129025 has 12 divisors (see below), whose sum is σ = 172732. Its totient is φ = 95040.

The previous prime is 129023. The next prime is 129037. The reversal of 129025 is 520921.

It can be written as a sum of positive squares in 6 ways, for example, as 7921 + 121104 = 89^2 + 348^2 .

It is not a de Polignac number, because 129025 - 2¹ = 129023 is a prime.

It is a Duffinian number.

129025 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 128993 and 129011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127 + ... + 523.

It is a Proth number, since it is equal to 63 ⋅ 2¹¹ + 1 and 63 < 2¹¹.

2¹²⁹⁰²⁵ is an apocalyptic number.

It is an amenable number.

129025 is a deficient number, since it is larger than the sum of its proper divisors (43707).

129025 is a wasteful number, since it uses less digits than its factorization.

129025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 129025 is about 359.2005011132. The cubic root of 129025 is about 50.5310073274.

Adding to 129025 its reverse (520921), we get a palindrome (649946).

The spelling of 129025 in words is "one hundred twenty-nine thousand, twenty-five".