87875 has 16 divisors (see below), whose sum is σ = 118560. Its totient is φ = 64800.

The previous prime is 87869. The next prime is 87877. The reversal of 87875 is 57878.

It is not a de Polignac number, because 87875 - 2⁶ = 87811 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (87877) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2357 + ... + 2393.

It is an arithmetic number, because the mean of its divisors is an integer number (7410).

2⁸⁷⁸⁷⁵ is an apocalyptic number.

87875 is a deficient number, since it is larger than the sum of its proper divisors (30685).

87875 is a wasteful number, since it uses less digits than its factorization.

87875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 61 counting only the distinct ones).

The product of its digits is 15680, while the sum is 35.

The square root of 87875 is about 296.4371771556. The cubic root of 87875 is about 44.4585314142.

The spelling of 87875 in words is "eighty-seven thousand, eight hundred seventy-five".