29085 has 16 divisors (see below), whose sum is σ = 53376. Its totient is φ = 13248.

The previous prime is 29077. The next prime is 29101. The reversal of 29085 is 58092.

29085 = T₂₂ + T₂₃ + ... + T₅₆.

29085 = 10² + 11² + ... + 44².

It is not a de Polignac number, because 29085 - 2³ = 29077 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34 + ... + 243.

It is an arithmetic number, because the mean of its divisors is an integer number (3336).

2²⁹⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

29085 is a deficient number, since it is larger than the sum of its proper divisors (24291).

29085 is a wasteful number, since it uses less digits than its factorization.

29085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292.

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

The square root of 29085 is about 170.5432496465. The cubic root of 29085 is about 30.7531558662.

The spelling of 29085 in words is "twenty-nine thousand, eighty-five".