965968 has 10 divisors (see below), whose sum is σ = 1871594. Its totient is φ = 482976.

The previous prime is 965963. The next prime is 965969. The reversal of 965968 is 869569.

965968 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in only one way, i.e., 868624 + 97344 = 932^2 + 312^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (965963) 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 as a sum of consecutive naturals, namely, 30171 + ... + 30202.

2⁹⁶⁵⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

965968 is a deficient number, since it is larger than the sum of its proper divisors (905626).

965968 is a wasteful number, since it uses less digits than its factorization.

965968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60381 (or 60375 counting only the distinct ones).

The product of its digits is 116640, while the sum is 43.

The square root of 965968 is about 982.8367107511. The cubic root of 965968 is about 98.8524824019.

The spelling of 965968 in words is "nine hundred sixty-five thousand, nine hundred sixty-eight".