965712 has 80 divisors (see below), whose sum is σ = 2856960. Its totient is φ = 278400.

The previous prime is 965711. The next prime is 965749. The reversal of 965712 is 217569.

965712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 965712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (965711) 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, 16339 + ... + 16397.

It is an arithmetic number, because the mean of its divisors is an integer number (35712).

2⁹⁶⁵⁷¹² 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 965712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428480).

965712 is an abundant number, since it is smaller than the sum of its proper divisors (1891248).

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

965712 is a wasteful number, since it uses less digits than its factorization.

965712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 106 counting only the distinct ones).

The product of its digits is 3780, while the sum is 30.

The square root of 965712 is about 982.7064668557. The cubic root of 965712 is about 98.8437490307.

It can be divided in two parts, 9657 and 12, that added together give a palindrome (9669).

The spelling of 965712 in words is "nine hundred sixty-five thousand, seven hundred twelve".