87175 has 12 divisors (see below), whose sum is σ = 118296. Its totient is φ = 63200.

The previous prime is 87151. The next prime is 87179. The reversal of 87175 is 57178.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-87175 is a prime.

It is a Duffinian number.

87175 is a lucky number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87179) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117 + ... + 433.

It is an arithmetic number, because the mean of its divisors is an integer number (9858).

2⁸⁷¹⁷⁵ is an apocalyptic number.

87175 is a deficient number, since it is larger than the sum of its proper divisors (31121).

87175 is a wasteful number, since it uses less digits than its factorization.

87175 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 333 counting only the distinct ones).

The product of its digits is 1960, while the sum is 28.

The square root of 87175 is about 295.2541278289. The cubic root of 87175 is about 44.3401664080.

It can be divided in two parts, 871 and 75, that added together give a triangular number (946 = T₄₃).

The spelling of 87175 in words is "eighty-seven thousand, one hundred seventy-five".