165085564 has 24 divisors (see below), whose sum is σ = 339096800. Its totient is φ = 68838336.

The previous prime is 165085549. The next prime is 165085567. The reversal of 165085564 is 465580561.

165085564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165085567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78639 + ... + 80710.

Almost surely, 2^165085564 is an apocalyptic number.

165085564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

165085564 is an abundant number, since it is smaller than the sum of its proper divisors (174011236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165085564 is a wasteful number, since it uses less digits than its factorization.

165085564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159397 (or 159395 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

The square root of 165085564 is about 12848.5627211762. The cubic root of 165085564 is about 548.5754473421.

It can be divided in two parts, 165085 and 564, that added together give a square (165649 = 407²).

The spelling of 165085564 in words is "one hundred sixty-five million, eighty-five thousand, five hundred sixty-four".