164164005 has 24 divisors (see below), whose sum is σ = 292244472. Its totient is φ = 85186944.

The previous prime is 164163991. The next prime is 164164031. The reversal of 164164005 is 500461461.

164164005 is a `hidden beast` number, since 16 + 4 + 1 + 640 + 0 + 5 = 666.

164164005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 106874244 + 57289761 = 10338^2 + 7569^2 .

It is not a de Polignac number, because 164164005 - 2⁵ = 164163973 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 164164005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47634 + ... + 50963.

It is an arithmetic number, because the mean of its divisors is an integer number (12176853).

Almost surely, 2^164164005 is an apocalyptic number.

164164005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164164005 is a deficient number, since it is larger than the sum of its proper divisors (128080467).

164164005 is a wasteful number, since it uses less digits than its factorization.

164164005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98645 (or 98642 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 164164005 is about 12812.6501942416. The cubic root of 164164005 is about 547.5527690428.

The spelling of 164164005 in words is "one hundred sixty-four million, one hundred sixty-four thousand, five".