201993 has 8 divisors (see below), whose sum is σ = 293856. Its totient is φ = 122400.

The previous prime is 201979. The next prime is 201997. The reversal of 201993 is 399102.

It is a happy number.

201993 is nontrivially palindromic in base 12.

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

It is not a de Polignac number, because 201993 - 2⁵ = 201961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3028 + ... + 3093.

It is an arithmetic number, because the mean of its divisors is an integer number (36732).

2²⁰¹⁹⁹³ is an apocalyptic number.

It is an amenable number.

201993 is a deficient number, since it is larger than the sum of its proper divisors (91863).

201993 is a wasteful number, since it uses less digits than its factorization.

201993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6135.

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 201993 is about 449.4363136196. The cubic root of 201993 is about 58.6739653167.

It can be divided in two parts, 20199 and 3, that added together give a palindrome (20202).

The spelling of 201993 in words is "two hundred one thousand, nine hundred ninety-three".