65312 has 24 divisors (see below), whose sum is σ = 139356. Its totient is φ = 29952.

The previous prime is 65309. The next prime is 65323. The reversal of 65312 is 21356.

It can be written as a sum of positive squares in 2 ways, for example, as 59536 + 5776 = 244^2 + 76^2 .

Its product of digits (180) is a multiple of the sum of its prime factors (180).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 338 + ... + 494.

2⁶⁵³¹² 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 65312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69678).

65312 is an abundant number, since it is smaller than the sum of its proper divisors (74044).

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

65312 is a wasteful number, since it uses less digits than its factorization.

65312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 172 counting only the distinct ones).

The product of its digits is 180, while the sum is 17.

The square root of 65312 is about 255.5621255194. The cubic root of 65312 is about 40.2714865411.

Adding to 65312 its reverse (21356), we get a palindrome (86668).

Subtracting from 65312 its reverse (21356), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 65312 in words is "sixty-five thousand, three hundred twelve".