164138309 has 2 divisors, whose sum is σ = 164138310. Its totient is φ = 164138308.

The previous prime is 164138257. The next prime is 164138311. The reversal of 164138309 is 903831461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88830625 + 75307684 = 9425^2 + 8678^2 .

It is a cyclic number.

It is not a de Polignac number, because 164138309 - 2¹² = 164134213 is a prime.

Together with 164138311, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164138329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82069154 + 82069155.

It is an arithmetic number, because the mean of its divisors is an integer number (82069155).

Almost surely, 2^164138309 is an apocalyptic number.

It is an amenable number.

164138309 is a deficient number, since it is larger than the sum of its proper divisors (1).

164138309 is an equidigital number, since it uses as much as digits as its factorization.

164138309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 164138309 is about 12811.6473960221. The cubic root of 164138309 is about 547.5241987317.

The spelling of 164138309 in words is "one hundred sixty-four million, one hundred thirty-eight thousand, three hundred nine".