165955944 has 96 divisors (see below), whose sum is σ = 526543200. Its totient is φ = 43102080.

The previous prime is 165955943. The next prime is 165955957. The reversal of 165955944 is 449559561.

165955944 is nontrivially palindromic in base 9.

165955944 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×165955944² = 55082750697862272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 165955893 and 165955902.

It is not an unprimeable number, because it can be changed into a prime (165955943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6522 + ... + 19350.

It is an arithmetic number, because the mean of its divisors is an integer number (5484825).

Almost surely, 2^165955944 is an apocalyptic number.

165955944 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 165955944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263271600).

165955944 is an abundant number, since it is smaller than the sum of its proper divisors (360587256).

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

165955944 is a wasteful number, since it uses less digits than its factorization.

165955944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12863 (or 12852 counting only the distinct ones).

The product of its digits is 972000, while the sum is 48.

The square root of 165955944 is about 12882.3889088942. The cubic root of 165955944 is about 549.5378420664.

The spelling of 165955944 in words is "one hundred sixty-five million, nine hundred fifty-five thousand, nine hundred forty-four".