165214944 has 96 divisors (see below), whose sum is σ = 493194240. Its totient is φ = 53778816.

The previous prime is 165214919. The next prime is 165214949. The reversal of 165214944 is 449412561.

165214944 is a `hidden beast` number, since 165 + 2 + 1 + 494 + 4 = 666.

165214944 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 165214899 and 165214908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165214949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34929 + ... + 39375.

It is an arithmetic number, because the mean of its divisors is an integer number (5137440).

Almost surely, 2^165214944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165214944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246597120).

165214944 is an abundant number, since it is smaller than the sum of its proper divisors (327979296).

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

165214944 is a wasteful number, since it uses less digits than its factorization.

165214944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4509 (or 4495 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 165214944 is about 12853.5965394904. The cubic root of 165214944 is about 548.7187188199.

The spelling of 165214944 in words is "one hundred sixty-five million, two hundred fourteen thousand, nine hundred forty-four".