87205 has 8 divisors (see below), whose sum is σ = 106272. Its totient is φ = 68688.

The previous prime is 87187. The next prime is 87211. The reversal of 87205 is 50278.

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 87205 - 2⁹ = 86693 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 454 + ... + 616.

It is an arithmetic number, because the mean of its divisors is an integer number (13284).

2⁸⁷²⁰⁵ is an apocalyptic number.

It is an amenable number.

87205 is a deficient number, since it is larger than the sum of its proper divisors (19067).

87205 is a wasteful number, since it uses less digits than its factorization.

87205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275.

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 87205 is about 295.3049271516. The cubic root of 87205 is about 44.3452521644.

It can be divided in two parts, 87 and 205, that added together give a palindrome (292).

The spelling of 87205 in words is "eighty-seven thousand, two hundred five".