17993 has 4 divisors (see below), whose sum is σ = 18960. Its totient is φ = 17028.

The previous prime is 17989. The next prime is 18013. The reversal of 17993 is 39971.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 17993 - 2² = 17989 is a prime.

It is a Duffinian number.

It is a plaindrome in base 11.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (17903) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 455 + ... + 492.

It is an arithmetic number, because the mean of its divisors is an integer number (4740).

2¹⁷⁹⁹³ is an apocalyptic number.

It is an amenable number.

17993 is a deficient number, since it is larger than the sum of its proper divisors (967).

17993 is an equidigital number, since it uses as much as digits as its factorization.

17993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966.

The product of its digits is 1701, while the sum is 29.

The square root of 17993 is about 134.1379886535. The cubic root of 17993 is about 26.2040162442.

It can be divided in two parts, 179 and 93, that added together give a palindrome (272).

The spelling of 17993 in words is "seventeen thousand, nine hundred ninety-three".