164216309 has 2 divisors, whose sum is σ = 164216310. Its totient is φ = 164216308.

The previous prime is 164216287. The next prime is 164216329. The reversal of 164216309 is 903612461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113848900 + 50367409 = 10670^2 + 7097^2 .

It is a cyclic number.

It is not a de Polignac number, because 164216309 - 2¹⁶ = 164150773 is a prime.

It is a super-2 number, since 2×164216309² = 53933992283166962, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164216329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82108154 + 82108155.

It is an arithmetic number, because the mean of its divisors is an integer number (82108155).

Almost surely, 2^164216309 is an apocalyptic number.

It is an amenable number.

164216309 is a deficient number, since it is larger than the sum of its proper divisors (1).

164216309 is an equidigital number, since it uses as much as digits as its factorization.

164216309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 164216309 is about 12814.6911394696. The cubic root of 164216309 is about 547.6109144709.

The spelling of 164216309 in words is "one hundred sixty-four million, two hundred sixteen thousand, three hundred nine".