165533952 has 72 divisors (see below), whose sum is σ = 447276256. Its totient is φ = 54337536.

The previous prime is 165533941. The next prime is 165533969. The reversal of 165533952 is 259335561.

It is a self number, because there is not a number n which added to its sum of digits gives 165533952.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 49848 + ... + 53064.

Almost surely, 2^165533952 is an apocalyptic number.

165533952 is a gapful number since it is divisible by the number (12) 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 165533952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223638128).

165533952 is an abundant number, since it is smaller than the sum of its proper divisors (281742304).

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

165533952 is an equidigital number, since it uses as much as digits as its factorization.

165533952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3303 (or 3289 counting only the distinct ones).

The product of its digits is 121500, while the sum is 39.

The square root of 165533952 is about 12865.9998445515. Note that the first 3 decimals coincide. The cubic root of 165533952 is about 549.0716592869.

The spelling of 165533952 in words is "one hundred sixty-five million, five hundred thirty-three thousand, nine hundred fifty-two".