164034417 has 16 divisors (see below), whose sum is σ = 223311168. Its totient is φ = 107065920.

The previous prime is 164034397. The next prime is 164034439. The reversal of 164034417 is 714430461.

It is not a de Polignac number, because 164034417 - 2⁷ = 164034289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164034457) 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 15 ways as a sum of consecutive naturals, for example, 109123 + ... + 110615.

It is an arithmetic number, because the mean of its divisors is an integer number (13956948).

Almost surely, 2^164034417 is an apocalyptic number.

It is an amenable number.

164034417 is a deficient number, since it is larger than the sum of its proper divisors (59276751).

164034417 is a wasteful number, since it uses less digits than its factorization.

164034417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240.

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 164034417 is about 12807.5921624636. The cubic root of 164034417 is about 547.4086551389.

Adding to 164034417 its reverse (714430461), we get a palindrome (878464878).

It can be divided in two parts, 164034 and 417, that added together give a triangular number (164451 = T₅₇₃).

The spelling of 164034417 in words is "one hundred sixty-four million, thirty-four thousand, four hundred seventeen".