85505 has 12 divisors (see below), whose sum is σ = 119700. Its totient is φ = 58464.

The previous prime is 85487. The next prime is 85513. The reversal of 85505 is 50558.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 47089 + 38416 = 217^2 + 196^2 .

It is not a de Polignac number, because 85505 - 2¹⁰ = 84481 is a prime.

It is a super-2 number, since 2×85505² = 14622210050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71 + ... + 419.

It is an arithmetic number, because the mean of its divisors is an integer number (9975).

It is a Proth number, since it is equal to 167 ⋅ 2⁹ + 1 and 167 < 2⁹.

2⁸⁵⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

85505 is a deficient number, since it is larger than the sum of its proper divisors (34195).

85505 is a wasteful number, since it uses less digits than its factorization.

85505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 23.

The square root of 85505 is about 292.4123800389. The cubic root of 85505 is about 44.0551993169.

The spelling of 85505 in words is "eighty-five thousand, five hundred five".