165285305 has 16 divisors (see below), whose sum is σ = 210347280. Its totient is φ = 124250112.

The previous prime is 165285277. The next prime is 165285319. The reversal of 165285305 is 503582561.

It can be written as a sum of positive squares in 8 ways, for example, as 316969 + 164968336 = 563^2 + 12844^2 .

It is a cyclic number.

It is not a de Polignac number, because 165285305 - 2⁸ = 165285049 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, 71711 + ... + 73979.

It is an arithmetic number, because the mean of its divisors is an integer number (13146705).

Almost surely, 2^165285305 is an apocalyptic number.

It is an amenable number.

165285305 is a deficient number, since it is larger than the sum of its proper divisors (45061975).

165285305 is a wasteful number, since it uses less digits than its factorization.

165285305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3148.

The product of its (nonzero) digits is 36000, while the sum is 35.

The square root of 165285305 is about 12856.3332641932. Note that the first 3 decimals coincide. The cubic root of 165285305 is about 548.7966030543.

The spelling of 165285305 in words is "one hundred sixty-five million, two hundred eighty-five thousand, three hundred five".