965856 has 24 divisors (see below), whose sum is σ = 2535624. Its totient is φ = 321920.

The previous prime is 965851. The next prime is 965857. The reversal of 965856 is 658569.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (965851) by changing a digit.

965856 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 4935 + ... + 5126.

It is an arithmetic number, because the mean of its divisors is an integer number (105651).

2⁹⁶⁵⁸⁵⁶ is an apocalyptic number.

965856 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

965856 is an abundant number, since it is smaller than the sum of its proper divisors (1569768).

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

965856 is a wasteful number, since it uses less digits than its factorization.

965856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10074 (or 10066 counting only the distinct ones).

The product of its digits is 64800, while the sum is 39.

The square root of 965856 is about 982.7797311707. The cubic root of 965856 is about 98.8486617418.

It can be divided in two parts, 9 and 65856, that multiplied together give a cube (592704 = 84³).

The spelling of 965856 in words is "nine hundred sixty-five thousand, eight hundred fifty-six".