164135417 has 2 divisors, whose sum is σ = 164135418. Its totient is φ = 164135416.

The previous prime is 164135393. The next prime is 164135431. The reversal of 164135417 is 714531461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 163353961 + 781456 = 12781^2 + 884^2 .

It is a cyclic number.

It is not a de Polignac number, because 164135417 - 2¹² = 164131321 is a prime.

It is a super-2 number, since 2×164135417² = 53880870227527778, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (164135437) 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, 82067708 + 82067709.

It is an arithmetic number, because the mean of its divisors is an integer number (82067709).

Almost surely, 2^164135417 is an apocalyptic number.

It is an amenable number.

164135417 is a deficient number, since it is larger than the sum of its proper divisors (1).

164135417 is an equidigital number, since it uses as much as digits as its factorization.

164135417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10080, while the sum is 32.

The square root of 164135417 is about 12811.5345294777. The cubic root of 164135417 is about 547.5209830507.

Adding to 164135417 its reverse (714531461), we get a palindrome (878666878).

The spelling of 164135417 in words is "one hundred sixty-four million, one hundred thirty-five thousand, four hundred seventeen".