965216 has 48 divisors (see below), whose sum is σ = 2257920. Its totient is φ = 397440.

The previous prime is 965201. The next prime is 965227. The reversal of 965216 is 612569.

965216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

965216 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6875 + ... + 7013.

It is an arithmetic number, because the mean of its divisors is an integer number (47040).

2⁹⁶⁵²¹⁶ 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 965216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128960).

965216 is an abundant number, since it is smaller than the sum of its proper divisors (1292704).

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

965216 is a wasteful number, since it uses less digits than its factorization.

965216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 179 counting only the distinct ones).

The product of its digits is 3240, while the sum is 29.

The square root of 965216 is about 982.4540701733. The cubic root of 965216 is about 98.8268237308.

The spelling of 965216 in words is "nine hundred sixty-five thousand, two hundred sixteen".