27993 has 16 divisors (see below), whose sum is σ = 45056. Its totient is φ = 15120.

The previous prime is 27983. The next prime is 27997. The reversal of 27993 is 39972.

27993 is nontrivially palindromic in base 6.

It is not a de Polignac number, because 27993 - 2⁵ = 27961 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

27993 is a nontrivial repdigit in base 6.

It is a plaindrome in base 6.

It is a nialpdrome in base 6, base 8 and base 13.

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 27993.

It is not an unprimeable number, because it can be changed into a prime (27997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 630 + ... + 672.

It is an arithmetic number, because the mean of its divisors is an integer number (2816).

2²⁷⁹⁹³ is an apocalyptic number.

It is an amenable number.

27993 is a deficient number, since it is larger than the sum of its proper divisors (17063).

27993 is a wasteful number, since it uses less digits than its factorization.

27993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84.

The product of its digits is 3402, while the sum is 30.

The square root of 27993 is about 167.3110874987. The cubic root of 27993 is about 30.3633590170.

The spelling of 27993 in words is "twenty-seven thousand, nine hundred ninety-three".