165965712 has 40 divisors (see below), whose sum is σ = 467723040. Its totient is φ = 50292480.

The previous prime is 165965711. The next prime is 165965749. The reversal of 165965712 is 217569561.

165965712 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (165965711) 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, 156637 + ... + 157692.

It is an arithmetic number, because the mean of its divisors is an integer number (11693076).

Almost surely, 2^165965712 is an apocalyptic number.

165965712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

165965712 is an abundant number, since it is smaller than the sum of its proper divisors (301757328).

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

165965712 is a wasteful number, since it uses less digits than its factorization.

165965712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314351 (or 314345 counting only the distinct ones).

The product of its digits is 113400, while the sum is 42.

The square root of 165965712 is about 12882.7680255448. The cubic root of 165965712 is about 549.5486236032.

The spelling of 165965712 in words is "one hundred sixty-five million, nine hundred sixty-five thousand, seven hundred twelve".