129385 has 8 divisors (see below), whose sum is σ = 157320. Its totient is φ = 102144.

The previous prime is 129379. The next prime is 129401. The reversal of 129385 is 583921.

It can be written as a sum of positive squares in 4 ways, for example, as 8281 + 121104 = 91^2 + 348^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 129385 - 2⁹ = 128873 is a prime.

It is a super-4 number, since 4×129385⁴ (a number of 22 digits) contains 4444 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 451 + ... + 679.

It is an arithmetic number, because the mean of its divisors is an integer number (19665).

2¹²⁹³⁸⁵ is an apocalyptic number.

It is an amenable number.

129385 is a deficient number, since it is larger than the sum of its proper divisors (27935).

129385 is a wasteful number, since it uses less digits than its factorization.

129385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347.

The product of its digits is 2160, while the sum is 28.

The square root of 129385 is about 359.7012649408. The cubic root of 129385 is about 50.5779601662.

It can be divided in two parts, 1293 and 85, that added together give a triangular number (1378 = T₅₂).

The spelling of 129385 in words is "one hundred twenty-nine thousand, three hundred eighty-five".