65337216 has 128 divisors (see below), whose sum is σ = 201062400. Its totient is φ = 18413568.

The previous prime is 65337197. The next prime is 65337271. The reversal of 65337216 is 61273356.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292881 + ... + 293103.

It is an arithmetic number, because the mean of its divisors is an integer number (1570800).

Almost surely, 2^65337216 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 65337216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100531200).

65337216 is an abundant number, since it is smaller than the sum of its proper divisors (135725184).

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

65337216 is a wasteful number, since it uses less digits than its factorization.

65337216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 344 counting only the distinct ones).

The product of its digits is 22680, while the sum is 33.

The square root of 65337216 is about 8083.1439427985. The cubic root of 65337216 is about 402.7666861655.

The spelling of 65337216 in words is "sixty-five million, three hundred thirty-seven thousand, two hundred sixteen".