965736 has 64 divisors (see below), whose sum is σ = 2851200. Its totient is φ = 301824.

The previous prime is 965711. The next prime is 965749. The reversal of 965736 is 637569.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 965736.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 965736.

It is an unprimeable number.

965736 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 15 ways as a sum of consecutive naturals, for example, 3541 + ... + 3803.

It is an arithmetic number, because the mean of its divisors is an integer number (44550).

2⁹⁶⁵⁷³⁶ 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 965736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425600).

965736 is an abundant number, since it is smaller than the sum of its proper divisors (1885464).

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

965736 is a wasteful number, since it uses less digits than its factorization.

965736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 285 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 965736 is about 982.7186779542. The cubic root of 965736 is about 98.8445678498.

It can be divided in two parts, 96 and 5736, that added together give a cube (5832 = 18³).

The spelling of 965736 in words is "nine hundred sixty-five thousand, seven hundred thirty-six".