206993 has 2 divisors, whose sum is σ = 206994. Its totient is φ = 206992.

The previous prime is 206953. The next prime is 207013. The reversal of 206993 is 399602.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 169744 + 37249 = 412^2 + 193^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-206993 is a prime.

It is a super-2 number, since 2×206993² = 85692204098, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (206923) 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 as a sum of consecutive naturals, namely, 103496 + 103497.

It is an arithmetic number, because the mean of its divisors is an integer number (103497).

2²⁰⁶⁹⁹³ is an apocalyptic number.

It is an amenable number.

206993 is a deficient number, since it is larger than the sum of its proper divisors (1).

206993 is an equidigital number, since it uses as much as digits as its factorization.

206993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 206993 is about 454.9648338059. The cubic root of 206993 is about 59.1541501880.

It can be divided in two parts, 20699 and 3, that added together give a palindrome (20702).

The spelling of 206993 in words is "two hundred six thousand, nine hundred ninety-three".