168993 has 16 divisors (see below), whose sum is σ = 273600. Its totient is φ = 102240.

The previous prime is 168991. The next prime is 169003. The reversal of 168993 is 399861.

168993 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 168993 - 2¹ = 168991 is a prime.

168993 is strictly pandigital in base 7.

It is not an unprimeable number, because it can be changed into a prime (168991) 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, 13 + ... + 581.

It is an arithmetic number, because the mean of its divisors is an integer number (17100).

2¹⁶⁸⁹⁹³ is an apocalyptic number.

It is an amenable number.

168993 is a deficient number, since it is larger than the sum of its proper divisors (104607).

168993 is a wasteful number, since it uses less digits than its factorization.

168993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 583 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 168993 is about 411.0875819093. The cubic root of 168993 is about 55.2869847846.

It can be divided in two parts, 16 and 8993, that added together give a palindrome (9009).

The spelling of 168993 in words is "one hundred sixty-eight thousand, nine hundred ninety-three".