88085 has 8 divisors (see below), whose sum is σ = 107520. Its totient is φ = 69264.

The previous prime is 88079. The next prime is 88093. The reversal of 88085 is 58088.

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 88085 - 2⁴ = 88069 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 88085.

It is an unprimeable number.

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, 284 + ... + 506.

It is an arithmetic number, because the mean of its divisors is an integer number (13440).

2⁸⁸⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

88085 is a deficient number, since it is larger than the sum of its proper divisors (19435).

88085 is a wasteful number, since it uses less digits than its factorization.

88085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307.

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 88085 is about 296.7911723755. The cubic root of 88085 is about 44.4939182868.

The spelling of 88085 in words is "eighty-eight thousand, eighty-five".