165216512 has 36 divisors (see below), whose sum is σ = 332231760. Its totient is φ = 81996288.

The previous prime is 165216497. The next prime is 165216517. The reversal of 165216512 is 215612561.

It is a happy number.

It is a super-2 number, since 2×165216512² = 54592991674892288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (165216517) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33263 + ... + 37905.

It is an arithmetic number, because the mean of its divisors is an integer number (9228660).

Almost surely, 2^165216512 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 165216512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166115880).

165216512 is an abundant number, since it is smaller than the sum of its proper divisors (167015248).

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

165216512 is an equidigital number, since it uses as much as digits as its factorization.

165216512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4798 (or 4784 counting only the distinct ones).

The product of its digits is 3600, while the sum is 29.

The square root of 165216512 is about 12853.6575339473. The cubic root of 165216512 is about 548.7204547166.

The spelling of 165216512 in words is "one hundred sixty-five million, two hundred sixteen thousand, five hundred twelve".