213537217 has 2 divisors, whose sum is σ = 213537218. Its totient is φ = 213537216.

The previous prime is 213537199. The next prime is 213537229. The reversal of 213537217 is 712735312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 191296561 + 22240656 = 13831^2 + 4716^2 .

It is a cyclic number.

It is not a de Polignac number, because 213537217 - 2⁷ = 213537089 is a prime.

It is not a weakly prime, because it can be changed into another prime (213537617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106768608 + 106768609.

It is an arithmetic number, because the mean of its divisors is an integer number (106768609).

Almost surely, 2^213537217 is an apocalyptic number.

It is an amenable number.

213537217 is a deficient number, since it is larger than the sum of its proper divisors (1).

213537217 is an equidigital number, since it uses as much as digits as its factorization.

213537217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8820, while the sum is 31.

The square root of 213537217 is about 14612.9126802291. The cubic root of 213537217 is about 597.7109233566.

The spelling of 213537217 in words is "two hundred thirteen million, five hundred thirty-seven thousand, two hundred seventeen".