164105567 has 2 divisors, whose sum is σ = 164105568. Its totient is φ = 164105566.

The previous prime is 164105563. The next prime is 164105569. The reversal of 164105567 is 765501461.

164105567 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is an emirp because it is prime and its reverse (765501461) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 164105567 - 2² = 164105563 is a prime.

Together with 164105569, 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 (164105561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82052783 + 82052784.

It is an arithmetic number, because the mean of its divisors is an integer number (82052784).

Almost surely, 2^164105567 is an apocalyptic number.

164105567 is a deficient number, since it is larger than the sum of its proper divisors (1).

164105567 is an equidigital number, since it uses as much as digits as its factorization.

164105567 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25200, while the sum is 35.

The square root of 164105567 is about 12810.3695106738. The cubic root of 164105567 is about 547.4877899461.

The spelling of 164105567 in words is "one hundred sixty-four million, one hundred five thousand, five hundred sixty-seven".