165585424 has 15 divisors (see below), whose sum is σ = 320921517. Its totient is φ = 82766976.

The previous prime is 165585421. The next prime is 165585439. The reversal of 165585424 is 424585561.

The square root of 165585424 is 12868.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 149328400 + 16257024 = 12220^2 + 4032^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (165585421) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 49864 + ... + 53080.

Almost surely, 2^165585424 is an apocalyptic number.

165585424 is the 12868-th square number.

It is an amenable number.

165585424 is a deficient number, since it is larger than the sum of its proper divisors (155336093).

165585424 is an frugal number, since it uses more digits than its factorization.

165585424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6442 (or 3219 counting only the distinct ones).

The product of its digits is 192000, while the sum is 40.

The cubic root of 165585424 is about 549.1285638017.

The spelling of 165585424 in words is "one hundred sixty-five million, five hundred eighty-five thousand, four hundred twenty-four".