213000017 has 2 divisors, whose sum is σ = 213000018. Its totient is φ = 213000016.

The previous prime is 213000001. The next prime is 213000019. The reversal of 213000017 is 710000312.

213000017 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., 207244816 + 5755201 = 14396^2 + 2399^2 .

It is a cyclic number.

It is not a de Polignac number, because 213000017 - 2⁴ = 213000001 is a prime.

Together with 213000019, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 212999965 and 213000010.

It is not a weakly prime, because it can be changed into another prime (213000019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106500008 + 106500009.

It is an arithmetic number, because the mean of its divisors is an integer number (106500009).

Almost surely, 2^213000017 is an apocalyptic number.

It is an amenable number.

213000017 is a deficient number, since it is larger than the sum of its proper divisors (1).

213000017 is an equidigital number, since it uses as much as digits as its factorization.

213000017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 213000017 is about 14594.5201017368. The cubic root of 213000017 is about 597.2092778708.

Adding to 213000017 its reverse (710000312), we get a palindrome (923000329).

The spelling of 213000017 in words is "two hundred thirteen million, seventeen", and thus it is an aban number.