129625 has 16 divisors (see below), whose sum is σ = 174096. Its totient is φ = 96000.

The previous prime is 129607. The next prime is 129629. The reversal of 129625 is 526921.

It can be written as a sum of positive squares in 8 ways, for example, as 61504 + 68121 = 248^2 + 261^2 .

It is not a de Polignac number, because 129625 - 2⁵ = 129593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 129625.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129629) 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 15 ways as a sum of consecutive naturals, for example, 2095 + ... + 2155.

It is an arithmetic number, because the mean of its divisors is an integer number (10881).

2¹²⁹⁶²⁵ is an apocalyptic number.

It is an amenable number.

129625 is a deficient number, since it is larger than the sum of its proper divisors (44471).

129625 is an equidigital number, since it uses as much as digits as its factorization.

129625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 83 counting only the distinct ones).

The product of its digits is 1080, while the sum is 25.

The square root of 129625 is about 360.0347205479. The cubic root of 129625 is about 50.6092136929.

Subtracting from 129625 its sum of digits (25), we obtain a square (129600 = 360²).

It can be divided in two parts, 1296 and 25, that multiplied together give a square (32400 = 180²).

The spelling of 129625 in words is "one hundred twenty-nine thousand, six hundred twenty-five".