268993 has 2 divisors, whose sum is σ = 268994. Its totient is φ = 268992.

The previous prime is 268979. The next prime is 268997. The reversal of 268993 is 399862.

268993 is nontrivially palindromic in base 2.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 186624 + 82369 = 432^2 + 287^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-268993 is a prime.

268993 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (268997) 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, 134496 + 134497.

It is an arithmetic number, because the mean of its divisors is an integer number (134497).

2²⁶⁸⁹⁹³ is an apocalyptic number.

It is an amenable number.

268993 is a deficient number, since it is larger than the sum of its proper divisors (1).

268993 is an equidigital number, since it uses as much as digits as its factorization.

268993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23328, while the sum is 37.

The square root of 268993 is about 518.6453508902. The cubic root of 268993 is about 64.5525881640.

The spelling of 268993 in words is "two hundred sixty-eight thousand, nine hundred ninety-three".