165437216 has 48 divisors (see below), whose sum is σ = 373222080. Its totient is φ = 70713600.

The previous prime is 165437213. The next prime is 165437219. The reversal of 165437216 is 612734561.

165437216 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 (165437213) and next prime (165437219).

It is not an unprimeable number, because it can be changed into a prime (165437213) 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, 113291 + ... + 114741.

It is an arithmetic number, because the mean of its divisors is an integer number (7775460).

Almost surely, 2^165437216 is an apocalyptic number.

165437216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

165437216 is an abundant number, since it is smaller than the sum of its proper divisors (207784864).

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

165437216 is a wasteful number, since it uses less digits than its factorization.

165437216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977 (or 1969 counting only the distinct ones).

The product of its digits is 30240, while the sum is 35.

The square root of 165437216 is about 12862.2399293436. The cubic root of 165437216 is about 548.9646815434.

The spelling of 165437216 in words is "one hundred sixty-five million, four hundred thirty-seven thousand, two hundred sixteen".