108993 has 8 divisors (see below), whose sum is σ = 148608. Its totient is φ = 71024.

The previous prime is 108991. The next prime is 109001. The reversal of 108993 is 399801.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 108993 - 2¹ = 108991 is a prime.

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 108993.

It is not an unprimeable number, because it can be changed into a prime (108991) 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, 246 + ... + 527.

It is an arithmetic number, because the mean of its divisors is an integer number (18576).

2¹⁰⁸⁹⁹³ is an apocalyptic number.

It is an amenable number.

108993 is a deficient number, since it is larger than the sum of its proper divisors (39615).

108993 is an equidigital number, since it uses as much as digits as its factorization.

108993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823.

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 108993 is about 330.1408790199. The cubic root of 108993 is about 47.7675392199.

The spelling of 108993 in words is "one hundred eight thousand, nine hundred ninety-three".