85129 has 8 divisors (see below), whose sum is σ = 95040. Its totient is φ = 75600.

The previous prime is 85121. The next prime is 85133. The reversal of 85129 is 92158.

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 85129 - 2³ = 85121 is a prime.

85129 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85121) 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 7 ways as a sum of consecutive naturals, for example, 727 + ... + 835.

It is an arithmetic number, because the mean of its divisors is an integer number (11880).

2⁸⁵¹²⁹ is an apocalyptic number.

It is an amenable number.

85129 is a deficient number, since it is larger than the sum of its proper divisors (9911).

85129 is a wasteful number, since it uses less digits than its factorization.

85129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191.

The product of its digits is 720, while the sum is 25.

The square root of 85129 is about 291.7687440423. The cubic root of 85129 is about 43.9905282642.

Adding to 85129 its product of digits (720), we get a square (85849 = 293²).

The spelling of 85129 in words is "eighty-five thousand, one hundred twenty-nine".