164617317 has 12 divisors (see below), whose sum is σ = 238378764. Its totient is φ = 109468800.

The previous prime is 164617309. The next prime is 164617357. The reversal of 164617317 is 713716461.

164617317 is a `hidden beast` number, since 1 + 6 + 4 + 617 + 31 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 87721956 + 76895361 = 9366^2 + 8769^2 .

It is not a de Polignac number, because 164617317 - 2³ = 164617309 is a prime.

It is a super-2 number, since 2×164617317² = 54197722112556978, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164617357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19198 + ... + 26415.

It is an arithmetic number, because the mean of its divisors is an integer number (19864897).

Almost surely, 2^164617317 is an apocalyptic number.

It is an amenable number.

164617317 is a deficient number, since it is larger than the sum of its proper divisors (73761447).

164617317 is a wasteful number, since it uses less digits than its factorization.

164617317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46020 (or 46017 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 164617317 is about 12830.3280160719. The cubic root of 164617317 is about 548.0562982724.

The spelling of 164617317 in words is "one hundred sixty-four million, six hundred seventeen thousand, three hundred seventeen".