165297216 has 112 divisors (see below), whose sum is σ = 517184640. Its totient is φ = 45588480.

The previous prime is 165297193. The next prime is 165297217. The reversal of 165297216 is 612792561.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165297217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36856 + ... + 41096.

It is an arithmetic number, because the mean of its divisors is an integer number (4617720).

Almost surely, 2^165297216 is an apocalyptic number.

165297216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165297216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258592320).

165297216 is an abundant number, since it is smaller than the sum of its proper divisors (351887424).

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

165297216 is a wasteful number, since it uses less digits than its factorization.

165297216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4292 (or 4282 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 165297216 is about 12856.7964905726. The cubic root of 165297216 is about 548.8097854307.

The spelling of 165297216 in words is "one hundred sixty-five million, two hundred ninety-seven thousand, two hundred sixteen".