164785305 has 16 divisors (see below), whose sum is σ = 272162304. Its totient is φ = 85050240.

The previous prime is 164785297. The next prime is 164785319. The reversal of 164785305 is 503587461.

164785305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 164785305 - 2³ = 164785297 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176724 + ... + 177653.

It is an arithmetic number, because the mean of its divisors is an integer number (17010144).

Almost surely, 2^164785305 is an apocalyptic number.

164785305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164785305 is a deficient number, since it is larger than the sum of its proper divisors (107376999).

164785305 is a wasteful number, since it uses less digits than its factorization.

164785305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354416.

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 164785305 is about 12836.8728668629. The cubic root of 164785305 is about 548.2426609700.

The spelling of 164785305 in words is "one hundred sixty-four million, seven hundred eighty-five thousand, three hundred five".