165085344 has 48 divisors (see below), whose sum is σ = 481501440. Its totient is φ = 55028160.

The previous prime is 165085321. The next prime is 165085369. The reversal of 165085344 is 443580561.

It is a happy number.

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

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 = 165085299 and 165085308.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94672 + ... + 96399.

It is an arithmetic number, because the mean of its divisors is an integer number (10031280).

Almost surely, 2^165085344 is an apocalyptic number.

It is an amenable number.

165085344 is an abundant number, since it is smaller than the sum of its proper divisors (316416096).

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

165085344 is a wasteful number, since it uses less digits than its factorization.

165085344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191090 (or 191076 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 165085344 is about 12848.5541599045. The cubic root of 165085344 is about 548.5752036571.

The spelling of 165085344 in words is "one hundred sixty-five million, eighty-five thousand, three hundred forty-four".