25875 has 24 divisors (see below), whose sum is σ = 48672. Its totient is φ = 13200.

The previous prime is 25873. The next prime is 25889. The reversal of 25875 is 57852.

It is a happy number.

It is not a de Polignac number, because 25875 - 2¹ = 25873 is a prime.

25875 is a Rhonda number in base 12.

25875 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 25875.

It is not an unprimeable number, because it can be changed into a prime (25873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1114 + ... + 1136.

It is an arithmetic number, because the mean of its divisors is an integer number (2028).

2²⁵⁸⁷⁵ is an apocalyptic number.

25875 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25875 is a deficient number, since it is larger than the sum of its proper divisors (22797).

25875 is a wasteful number, since it uses less digits than its factorization.

25875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 31 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 25875 is about 160.8570794215. The cubic root of 25875 is about 29.5774084985.

It can be divided in two parts, 258 and 75, that added together give a palindrome (333).

The spelling of 25875 in words is "twenty-five thousand, eight hundred seventy-five".