213305993 has 2 divisors, whose sum is σ = 213305994. Its totient is φ = 213305992.

The previous prime is 213305977. The next prime is 213306001. The reversal of 213305993 is 399503312.

It is a happy number.

213305993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 201554809 + 11751184 = 14197^2 + 3428^2 .

It is a cyclic number.

It is not a de Polignac number, because 213305993 - 2⁴ = 213305977 is a prime.

It is not a weakly prime, because it can be changed into another prime (213305093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106652996 + 106652997.

It is an arithmetic number, because the mean of its divisors is an integer number (106652997).

Almost surely, 2^213305993 is an apocalyptic number.

It is an amenable number.

213305993 is a deficient number, since it is larger than the sum of its proper divisors (1).

213305993 is an equidigital number, since it uses as much as digits as its factorization.

213305993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21870, while the sum is 35.

The square root of 213305993 is about 14604.9989044847. The cubic root of 213305993 is about 597.4951061380.

The spelling of 213305993 in words is "two hundred thirteen million, three hundred five thousand, nine hundred ninety-three".