165312016 has 20 divisors (see below), whose sum is σ = 323233900. Its totient is φ = 81896832.

The previous prime is 165312011. The next prime is 165312061. The reversal of 165312016 is 610213561.

It can be written as a sum of positive squares in 2 ways, for example, as 136796416 + 28515600 = 11696^2 + 5340^2 .

It is not an unprimeable number, because it can be changed into a prime (165312011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45651 + ... + 49138.

It is an arithmetic number, because the mean of its divisors is an integer number (16161695).

Almost surely, 2^165312016 is an apocalyptic number.

165312016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

165312016 is a deficient number, since it is larger than the sum of its proper divisors (157921884).

165312016 is a wasteful number, since it uses less digits than its factorization.

165312016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94906 (or 94900 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 165312016 is about 12857.3720487509. The cubic root of 165312016 is about 548.8261642959.

Adding to 165312016 its reverse (610213561), we get a palindrome (775525577).

The spelling of 165312016 in words is "one hundred sixty-five million, three hundred twelve thousand, sixteen".