165999952 has 40 divisors (see below), whose sum is σ = 332925120. Its totient is φ = 80129280.

The previous prime is 165999931. The next prime is 165999959. The reversal of 165999952 is 259999561.

165999952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 165999893 and 165999902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165999959) 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, 59877 + ... + 62587.

It is an arithmetic number, because the mean of its divisors is an integer number (8323128).

Almost surely, 2^165999952 is an apocalyptic number.

It is an amenable number.

165999952 is an abundant number, since it is smaller than the sum of its proper divisors (166925168).

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

165999952 is a wasteful number, since it uses less digits than its factorization.

165999952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2851 (or 2845 counting only the distinct ones).

The product of its digits is 1968300, while the sum is 55.

The square root of 165999952 is about 12884.0968639637. The cubic root of 165999952 is about 549.5864130373.

The spelling of 165999952 in words is "one hundred sixty-five million, nine hundred ninety-nine thousand, nine hundred fifty-two".