85510 has 16 divisors (see below), whose sum is σ = 163296. Its totient is φ = 32128.

The previous prime is 85487. The next prime is 85513. The reversal of 85510 is 1558.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85513) by changing a digit.

85510 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 82 + ... + 421.

It is an arithmetic number, because the mean of its divisors is an integer number (10206).

2⁸⁵⁵¹⁰ is an apocalyptic number.

85510 is a deficient number, since it is larger than the sum of its proper divisors (77786).

85510 is a wasteful number, since it uses less digits than its factorization.

85510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527.

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 85510 is about 292.4209294835. The cubic root of 85510 is about 44.0560580257.

Subtracting from 85510 its sum of digits (19), we obtain a triangular number (85491 = T₄₁₃).

It can be divided in two parts, 85 and 510, that added together give a palindrome (595).

The spelling of 85510 in words is "eighty-five thousand, five hundred ten".