965536 has 48 divisors (see below), whose sum is σ = 2243808. Its totient is φ = 403200.

The previous prime is 965533. The next prime is 965551. The reversal of 965536 is 635569.

965536 is nontrivially palindromic in base 15.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (965533) 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 7 ways as a sum of consecutive naturals, for example, 4471 + ... + 4681.

It is an arithmetic number, because the mean of its divisors is an integer number (46746).

2⁹⁶⁵⁵³⁶ 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 965536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121904).

965536 is an abundant number, since it is smaller than the sum of its proper divisors (1278272).

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

965536 is a wasteful number, since it uses less digits than its factorization.

965536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 237 counting only the distinct ones).

The product of its digits is 24300, while the sum is 34.

The square root of 965536 is about 982.6169141634. The cubic root of 965536 is about 98.8377439426.

It can be divided in two parts, 9 and 65536, that multiplied together give a square (589824 = 768²).

The spelling of 965536 in words is "nine hundred sixty-five thousand, five hundred thirty-six".