213764609 has 2 divisors, whose sum is σ = 213764610. Its totient is φ = 213764608.

The previous prime is 213764569. The next prime is 213764627. The reversal of 213764609 is 906467312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 209236225 + 4528384 = 14465^2 + 2128^2 .

It is a cyclic number.

It is not a de Polignac number, because 213764609 - 2²⁴ = 196987393 is a prime.

It is a super-3 number, since 3×213764609³ (a number of 26 digits) contains 333 as substring.

It is equal to p_11797733 and since 213764609 and 11797733 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (213760609) 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, 106882304 + 106882305.

It is an arithmetic number, because the mean of its divisors is an integer number (106882305).

Almost surely, 2^213764609 is an apocalyptic number.

It is an amenable number.

213764609 is a deficient number, since it is larger than the sum of its proper divisors (1).

213764609 is an equidigital number, since it uses as much as digits as its factorization.

213764609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 213764609 is about 14620.6911259352. The cubic root of 213764609 is about 597.9230120162.

The spelling of 213764609 in words is "two hundred thirteen million, seven hundred sixty-four thousand, six hundred nine".