85029 has 8 divisors (see below), whose sum is σ = 129600. Its totient is φ = 48576.

The previous prime is 85027. The next prime is 85037. The reversal of 85029 is 92058.

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

It is not a de Polignac number, because 85029 - 2¹ = 85027 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85021) 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, 2004 + ... + 2045.

It is an arithmetic number, because the mean of its divisors is an integer number (16200).

2⁸⁵⁰²⁹ is an apocalyptic number.

It is an amenable number.

85029 is a deficient number, since it is larger than the sum of its proper divisors (44571).

85029 is a wasteful number, since it uses less digits than its factorization.

85029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4059.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 85029 is about 291.5973250906. The cubic root of 85029 is about 43.9732964691.

The spelling of 85029 in words is "eighty-five thousand, twenty-nine".