213041417 has 2 divisors, whose sum is σ = 213041418. Its totient is φ = 213041416.

The previous prime is 213041401. The next prime is 213041419. The reversal of 213041417 is 714140312.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 175721536 + 37319881 = 13256^2 + 6109^2 .

It is a cyclic number.

It is not a de Polignac number, because 213041417 - 2⁴ = 213041401 is a prime.

Together with 213041419, 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 = 213041392 and 213041401.

It is not a weakly prime, because it can be changed into another prime (213041419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106520708 + 106520709.

It is an arithmetic number, because the mean of its divisors is an integer number (106520709).

Almost surely, 2^213041417 is an apocalyptic number.

It is an amenable number.

213041417 is a deficient number, since it is larger than the sum of its proper divisors (1).

213041417 is an equidigital number, since it uses as much as digits as its factorization.

213041417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 213041417 is about 14595.9383733969. The cubic root of 213041417 is about 597.2479677933.

Adding to 213041417 its reverse (714140312), we get a palindrome (927181729).

The spelling of 213041417 in words is "two hundred thirteen million, forty-one thousand, four hundred seventeen".