165361056 has 48 divisors (see below), whose sum is σ = 496085184. Its totient is φ = 47245824.

The previous prime is 165361051. The next prime is 165361061. The reversal of 165361056 is 650163561.

165361056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (165361051) and next prime (165361061).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×165361056³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (165361051) 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, 122365 + ... + 123708.

It is an arithmetic number, because the mean of its divisors is an integer number (10335108).

Almost surely, 2^165361056 is an apocalyptic number.

165361056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

165361056 is an abundant number, since it is smaller than the sum of its proper divisors (330724128).

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

165361056 is a wasteful number, since it uses less digits than its factorization.

165361056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246093 (or 246085 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 165361056 is about 12859.2789844532. The cubic root of 165361056 is about 548.8804289016.

The spelling of 165361056 in words is "one hundred sixty-five million, three hundred sixty-one thousand, fifty-six".