89085 has 8 divisors (see below), whose sum is σ = 142560. Its totient is φ = 47504.

The previous prime is 89083. The next prime is 89087. The reversal of 89085 is 58098.

It is an interprime number because it is at equal distance from previous prime (89083) and next prime (89087).

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 89085 - 2¹ = 89083 is a prime.

It is a super-2 number, since 2×89085² = 15872274450, which contains 22 as substring.

89085 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2955 + ... + 2984.

It is an arithmetic number, because the mean of its divisors is an integer number (17820).

2⁸⁹⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

89085 is a deficient number, since it is larger than the sum of its proper divisors (53475).

89085 is a wasteful number, since it uses less digits than its factorization.

89085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5947.

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 89085 is about 298.4711041290. The cubic root of 89085 is about 44.6616600413.

The spelling of 89085 in words is "eighty-nine thousand, eighty-five".