164972417 has 2 divisors, whose sum is σ = 164972418. Its totient is φ = 164972416.

The previous prime is 164972413. The next prime is 164972419. The reversal of 164972417 is 714279461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 164839921 + 132496 = 12839^2 + 364^2 .

It is a cyclic number.

It is not a de Polignac number, because 164972417 - 2² = 164972413 is a prime.

Together with 164972419, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (164972413) 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, 82486208 + 82486209.

It is an arithmetic number, because the mean of its divisors is an integer number (82486209).

Almost surely, 2^164972417 is an apocalyptic number.

It is an amenable number.

164972417 is a deficient number, since it is larger than the sum of its proper divisors (1).

164972417 is an equidigital number, since it uses as much as digits as its factorization.

164972417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 84672, while the sum is 41.

The square root of 164972417 is about 12844.1588669714. The cubic root of 164972417 is about 548.4500904251.

The spelling of 164972417 in words is "one hundred sixty-four million, nine hundred seventy-two thousand, four hundred seventeen".