164812905 has 24 divisors (see below), whose sum is σ = 288305160. Its totient is φ = 87091200.

The previous prime is 164812889. The next prime is 164812913. The reversal of 164812905 is 509218461.

164812905 is a `hidden beast` number, since 1 + 648 + 1 + 2 + 9 + 0 + 5 = 666.

164812905 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 870489 + 163942416 = 933^2 + 12804^2 .

It is not a de Polignac number, because 164812905 - 2⁴ = 164812889 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 164812905.

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, 11896 + ... + 21705.

It is an arithmetic number, because the mean of its divisors is an integer number (12012715).

Almost surely, 2^164812905 is an apocalyptic number.

164812905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164812905 is a deficient number, since it is larger than the sum of its proper divisors (123492255).

164812905 is a wasteful number, since it uses less digits than its factorization.

164812905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33721 (or 33718 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 164812905 is about 12837.9478500265. The cubic root of 164812905 is about 548.2732677703.

The spelling of 164812905 in words is "one hundred sixty-four million, eight hundred twelve thousand, nine hundred five".