211409993 has 2 divisors, whose sum is σ = 211409994. Its totient is φ = 211409992.

The previous prime is 211409953. The next prime is 211410013. The reversal of 211409993 is 399904112.

211409993 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., 154678969 + 56731024 = 12437^2 + 7532^2 .

It is a cyclic number.

It is not a de Polignac number, because 211409993 - 2¹⁰ = 211408969 is a prime.

It is not a weakly prime, because it can be changed into another prime (211409953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105704996 + 105704997.

It is an arithmetic number, because the mean of its divisors is an integer number (105704997).

Almost surely, 2^211409993 is an apocalyptic number.

It is an amenable number.

211409993 is a deficient number, since it is larger than the sum of its proper divisors (1).

211409993 is an equidigital number, since it uses as much as digits as its factorization.

211409993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17496, while the sum is 38.

The square root of 211409993 is about 14539.9447385470. The cubic root of 211409993 is about 595.7195287474.

The spelling of 211409993 in words is "two hundred eleven million, four hundred nine thousand, nine hundred ninety-three".