164058509 has 2 divisors, whose sum is σ = 164058510. Its totient is φ = 164058508.

The previous prime is 164058491. The next prime is 164058511. The reversal of 164058509 is 905850461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 160098409 + 3960100 = 12653^2 + 1990^2 .

It is an emirp because it is prime and its reverse (905850461) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-164058509 is a prime.

Together with 164058511, 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 (164058569) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82029254 + 82029255.

It is an arithmetic number, because the mean of its divisors is an integer number (82029255).

Almost surely, 2^164058509 is an apocalyptic number.

It is an amenable number.

164058509 is a deficient number, since it is larger than the sum of its proper divisors (1).

164058509 is an equidigital number, since it uses as much as digits as its factorization.

164058509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43200, while the sum is 38.

The square root of 164058509 is about 12808.5326638144. The cubic root of 164058509 is about 547.4354534250.

The spelling of 164058509 in words is "one hundred sixty-four million, fifty-eight thousand, five hundred nine".