27321 has 8 divisors (see below), whose sum is σ = 41664. Its totient is φ = 15600.

The previous prime is 27299. The next prime is 27329. The reversal of 27321 is 12372.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 27321 - 2¹⁰ = 26297 is a prime.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a fibodiv number, since the Fibonacci-like sequence with seeds 273 and 21 contains 27321 itself.

27321 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 27321.

It is not an unprimeable number, because it can be changed into a prime (27329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 630 + ... + 671.

It is an arithmetic number, because the mean of its divisors is an integer number (5208).

2²⁷³²¹ is an apocalyptic number.

27321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

27321 is a deficient number, since it is larger than the sum of its proper divisors (14343).

27321 is a wasteful number, since it uses less digits than its factorization.

27321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311.

The product of its digits is 84, while the sum is 15.

The square root of 27321 is about 165.2906530933. The cubic root of 27321 is about 30.1184208241.

Adding to 27321 its reverse (12372), we get a palindrome (39693).

The spelling of 27321 in words is "twenty-seven thousand, three hundred twenty-one", and thus it is an iban number.