165954936 has 128 divisors (see below), whose sum is σ = 512179200. Its totient is φ = 43760640.

The previous prime is 165954871. The next prime is 165954937. The reversal of 165954936 is 639459561.

It is a happy number.

It is a super-3 number, since 3×165954936³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165954937) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 111316 + ... + 112796.

It is an arithmetic number, because the mean of its divisors is an integer number (4001400).

Almost surely, 2^165954936 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 165954936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256089600).

165954936 is an abundant number, since it is smaller than the sum of its proper divisors (346224264).

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

165954936 is a wasteful number, since it uses less digits than its factorization.

165954936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1545 counting only the distinct ones).

The product of its digits is 874800, while the sum is 48.

The square root of 165954936 is about 12882.3497856563. The cubic root of 165954936 is about 549.5367294513.

The spelling of 165954936 in words is "one hundred sixty-five million, nine hundred fifty-four thousand, nine hundred thirty-six".