200993 has 4 divisors (see below), whose sum is σ = 216468. Its totient is φ = 185520.

The previous prime is 200989. The next prime is 201007. The reversal of 200993 is 399002.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 399002 = 2 ⋅199501.

It can be written as a sum of positive squares in 2 ways, for example, as 35344 + 165649 = 188^2 + 407^2 .

It is a cyclic number.

It is not a de Polignac number, because 200993 - 2² = 200989 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (200903) 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, 7718 + ... + 7743.

It is an arithmetic number, because the mean of its divisors is an integer number (54117).

2²⁰⁰⁹⁹³ is an apocalyptic number.

It is an amenable number.

200993 is a deficient number, since it is larger than the sum of its proper divisors (15475).

200993 is a wasteful number, since it uses less digits than its factorization.

200993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15474.

The product of its (nonzero) digits is 486, while the sum is 23.

The square root of 200993 is about 448.3224286158. The cubic root of 200993 is about 58.5769800126.

Adding to 200993 its reverse (399002), we get a palindrome (599995).

It can be divided in two parts, 20099 and 3, that added together give a palindrome (20102).

The spelling of 200993 in words is "two hundred thousand, nine hundred ninety-three".