165552 has 20 divisors (see below), whose sum is σ = 427800. Its totient is φ = 55168.

The previous prime is 165551. The next prime is 165553. The reversal of 165552 is 255561.

165552 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (165551) and next prime (165553).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 165552.

It is not an unprimeable number, because it can be changed into a prime (165551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1677 + ... + 1772.

It is an arithmetic number, because the mean of its divisors is an integer number (21390).

2¹⁶⁵⁵⁵² is an apocalyptic number.

165552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

165552 is an abundant number, since it is smaller than the sum of its proper divisors (262248).

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

165552 is a wasteful number, since it uses less digits than its factorization.

165552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3460 (or 3454 counting only the distinct ones).

The product of its digits is 1500, while the sum is 24.

The square root of 165552 is about 406.8808179308. The cubic root of 165552 is about 54.9091613472.

Subtracting 165552 from its reverse (255561), we obtain a palindrome (90009).

It can be divided in two parts, 165 and 552, that added together give a palindrome (717).

The spelling of 165552 in words is "one hundred sixty-five thousand, five hundred fifty-two".