164816971 has 8 divisors (see below), whose sum is σ = 180795888. Its totient is φ = 149004000.

The previous prime is 164816959. The next prime is 164817013. The reversal of 164816971 is 179618461.

164816971 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-164816971 is a prime.

It is a super-2 number, since 2×164816971² = 54329267859229682, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164816371) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39400 + ... + 43381.

It is an arithmetic number, because the mean of its divisors is an integer number (22599486).

Almost surely, 2^164816971 is an apocalyptic number.

164816971 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

164816971 is a deficient number, since it is larger than the sum of its proper divisors (15978917).

164816971 is a wasteful number, since it uses less digits than its factorization.

164816971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82973.

The product of its digits is 72576, while the sum is 43.

The square root of 164816971 is about 12838.1062076928. The cubic root of 164816971 is about 548.2777764398.

The spelling of 164816971 in words is "one hundred sixty-four million, eight hundred sixteen thousand, nine hundred seventy-one".