965328 has 120 divisors (see below), whose sum is σ = 3267648. Its totient is φ = 239616.

The previous prime is 965317. The next prime is 965329. The reversal of 965328 is 823569.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (965329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56776 + ... + 56792.

2⁹⁶⁵³²⁸ 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 965328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633824).

965328 is an abundant number, since it is smaller than the sum of its proper divisors (2302320).

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

965328 is a wasteful number, since it uses less digits than its factorization.

965328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 42 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 965328 is about 982.5110686399. The cubic root of 965328 is about 98.8306460795.

The spelling of 965328 in words is "nine hundred sixty-five thousand, three hundred twenty-eight".