27832 has 24 divisors (see below), whose sum is σ = 61560. Its totient is φ = 11760.

The previous prime is 27827. The next prime is 27847. The reversal of 27832 is 23872.

It is a happy number.

27832 is nontrivially palindromic in base 13.

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 357 + ... + 427.

It is an arithmetic number, because the mean of its divisors is an integer number (2565).

2²⁷⁸³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30780).

27832 is an abundant number, since it is smaller than the sum of its proper divisors (33728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27832 is a wasteful number, since it uses less digits than its factorization.

27832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 80 counting only the distinct ones).

The product of its digits is 672, while the sum is 22.

The square root of 27832 is about 166.8292540294. The cubic root of 27832 is about 30.3050360693.

The spelling of 27832 in words is "twenty-seven thousand, eight hundred thirty-two".