87185 has 16 divisors (see below), whose sum is σ = 124416. Its totient is φ = 57408.

The previous prime is 87181. The next prime is 87187. The reversal of 87185 is 58178.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 87185 - 2² = 87181 is a prime.

It is a Duffinian number.

Its product of digits (2240) is a multiple of the sum of its prime divisors (112).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87185.

It is not an unprimeable number, because it can be changed into a prime (87181) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1619 + ... + 1671.

It is an arithmetic number, because the mean of its divisors is an integer number (7776).

2⁸⁷¹⁸⁵ is an apocalyptic number.

It is an amenable number.

87185 is a deficient number, since it is larger than the sum of its proper divisors (37231).

87185 is a wasteful number, since it uses less digits than its factorization.

87185 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112.

The product of its digits is 2240, while the sum is 29.

The square root of 87185 is about 295.2710619075. The cubic root of 87185 is about 44.3418617898.

It can be divided in two parts, 87 and 185, that added together give a palindrome (272).

The spelling of 87185 in words is "eighty-seven thousand, one hundred eighty-five".