82875 has 32 divisors (see below), whose sum is σ = 157248. Its totient is φ = 38400.

The previous prime is 82847. The next prime is 82883. The reversal of 82875 is 57828.

It is not a de Polignac number, because 82875 - 2⁶ = 82811 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4867 + ... + 4883.

It is an arithmetic number, because the mean of its divisors is an integer number (4914).

2⁸²⁸⁷⁵ is an apocalyptic number.

82875 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

82875 is a deficient number, since it is larger than the sum of its proper divisors (74373).

82875 is a wasteful number, since it uses less digits than its factorization.

82875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 38 counting only the distinct ones).

The product of its digits is 4480, while the sum is 30.

The square root of 82875 is about 287.8801834097. The cubic root of 82875 is about 43.5987977673.

It can be divided in two parts, 828 and 75, that added together give a triangular number (903 = T₄₂).

The spelling of 82875 in words is "eighty-two thousand, eight hundred seventy-five".