164842689 has 32 divisors (see below), whose sum is σ = 253555200. Its totient is φ = 94210560.

The previous prime is 164842681. The next prime is 164842703. The reversal of 164842689 is 986248461.

It is not a de Polignac number, because 164842689 - 2³ = 164842681 is a prime.

It is a super-2 number, since 2×164842689² = 54346224233501442, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (164842681) 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 in 31 ways as a sum of consecutive naturals, for example, 176977 + ... + 177905.

It is an arithmetic number, because the mean of its divisors is an integer number (7923600).

Almost surely, 2^164842689 is an apocalyptic number.

164842689 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

164842689 is a deficient number, since it is larger than the sum of its proper divisors (88712511).

164842689 is a wasteful number, since it uses less digits than its factorization.

164842689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245.

The product of its digits is 663552, while the sum is 48.

The square root of 164842689 is about 12839.1077961048. The cubic root of 164842689 is about 548.3062926669.

The spelling of 164842689 in words is "one hundred sixty-four million, eight hundred forty-two thousand, six hundred eighty-nine".