165225424 has 80 divisors (see below), whose sum is σ = 404779648. Its totient is φ = 63576576.

The previous prime is 165225421. The next prime is 165225427. The reversal of 165225424 is 424522561.

165225424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (165225421) and next prime (165225427).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165225421) 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 15 ways as a sum of consecutive naturals, for example, 52339 + ... + 55405.

Almost surely, 2^165225424 is an apocalyptic number.

165225424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165225424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202389824).

165225424 is an abundant number, since it is smaller than the sum of its proper divisors (239554224).

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

165225424 is a wasteful number, since it uses less digits than its factorization.

165225424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3132 (or 3126 counting only the distinct ones).

The product of its digits is 19200, while the sum is 31.

The square root of 165225424 is about 12854.0042010262. The cubic root of 165225424 is about 548.7303207780.

Adding to 165225424 its reverse (424522561), we get a palindrome (589747985).

It can be divided in two parts, 165225 and 424, that added together give a square (165649 = 407²).

The spelling of 165225424 in words is "one hundred sixty-five million, two hundred twenty-five thousand, four hundred twenty-four".