27825 has 24 divisors (see below), whose sum is σ = 53568. Its totient is φ = 12480.

The previous prime is 27823. The next prime is 27827. The reversal of 27825 is 52872.

27825 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (27823) and next prime (27827).

It is not a de Polignac number, because 27825 - 2¹ = 27823 is a prime.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 27795 and 27804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499 + ... + 551.

It is an arithmetic number, because the mean of its divisors is an integer number (2232).

2²⁷⁸²⁵ is an apocalyptic number.

27825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

27825 is a deficient number, since it is larger than the sum of its proper divisors (25743).

27825 is a wasteful number, since it uses less digits than its factorization.

27825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 68 counting only the distinct ones).

The product of its digits is 1120, while the sum is 24.

The square root of 27825 is about 166.8082731761. The cubic root of 27825 is about 30.3024951926.

It can be divided in two parts, 278 and 25, that added together give a palindrome (303).

The spelling of 27825 in words is "twenty-seven thousand, eight hundred twenty-five".