165221334 has 48 divisors (see below), whose sum is σ = 380663712. Its totient is φ = 51611904.

The previous prime is 165221333. The next prime is 165221341. The reversal of 165221334 is 433122561.

165221334 is a `hidden beast` number, since 1 + 6 + 522 + 133 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 165221298 and 165221307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165221333) 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, 79452 + ... + 81504.

It is an arithmetic number, because the mean of its divisors is an integer number (7930494).

Almost surely, 2^165221334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165221334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190331856).

165221334 is an abundant number, since it is smaller than the sum of its proper divisors (215442378).

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

165221334 is a wasteful number, since it uses less digits than its factorization.

165221334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341 (or 2338 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 165221334 is about 12853.8451056483. The cubic root of 165221334 is about 548.7257929730.

Adding to 165221334 its reverse (433122561), we get a palindrome (598343895).

The spelling of 165221334 in words is "one hundred sixty-five million, two hundred twenty-one thousand, three hundred thirty-four".