42875 has 16 divisors (see below), whose sum is σ = 62400. Its totient is φ = 29400.

The previous prime is 42863. The next prime is 42899. The reversal of 42875 is 57824.

The cubic root of 42875 is 35.

It is a perfect power (a cube), and thus also a powerful number.

It is not a de Polignac number, because 42875 - 2⁴ = 42859 is a prime.

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6122 + ... + 6128.

It is an arithmetic number, because the mean of its divisors is an integer number (3900).

42875 is a Friedman number, since it can be written as (7*5)^(24/8), using all its digits and the basic arithmetic operations.

2⁴²⁸⁷⁵ is an apocalyptic number.

42875 is a deficient number, since it is larger than the sum of its proper divisors (19525).

42875 is an frugal number, since it uses more digits than its factorization.

42875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 12 counting only the distinct ones).

The product of its digits is 2240, while the sum is 26.

The square root of 42875 is about 207.0627924085.

Subtracting from 42875 its sum of digits (26), we obtain a square (42849 = 207²).

Multiplying 42875 by its product of digits (2240), we get a square (96040000 = 9800²).

The spelling of 42875 in words is "forty-two thousand, eight hundred seventy-five".