164656167 has 8 divisors (see below), whose sum is σ = 236429424. Its totient is φ = 101326848.

The previous prime is 164656157. The next prime is 164656189. The reversal of 164656167 is 761656461.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 164656167 - 2²⁷ = 30438439 is a prime.

It is a super-2 number, since 2×164656167² = 54223306662263778, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164656117) 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 7 ways as a sum of consecutive naturals, for example, 2110938 + ... + 2111015.

It is an arithmetic number, because the mean of its divisors is an integer number (29553678).

Almost surely, 2^164656167 is an apocalyptic number.

164656167 is a deficient number, since it is larger than the sum of its proper divisors (71773257).

164656167 is a wasteful number, since it uses less digits than its factorization.

164656167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4221969.

The product of its digits is 181440, while the sum is 42.

The square root of 164656167 is about 12831.8419176672. The cubic root of 164656167 is about 548.0994089909.

The spelling of 164656167 in words is "one hundred sixty-four million, six hundred fifty-six thousand, one hundred sixty-seven".