965556 has 18 divisors (see below), whose sum is σ = 2440802. Its totient is φ = 321840.

The previous prime is 965551. The next prime is 965567. The reversal of 965556 is 655569.

It can be written as a sum of positive squares in only one way, i.e., 933156 + 32400 = 966^2 + 180^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 26821 = 965556 / (9 + 6 + 5 + 5 + 5 + 6).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 965556.

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 965556.

It is not an unprimeable number, because it can be changed into a prime (965551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13375 + ... + 13446.

2⁹⁶⁵⁵⁵⁶ is an apocalyptic number.

It is an amenable number.

965556 is an abundant number, since it is smaller than the sum of its proper divisors (1475246).

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

965556 is a wasteful number, since it uses less digits than its factorization.

965556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26831 (or 26826 counting only the distinct ones).

The product of its digits is 40500, while the sum is 36.

The square root of 965556 is about 982.6270910167. The cubic root of 965556 is about 98.8384263757.

It can be divided in two parts, 965 and 556, that added together give a square (1521 = 39²).

The spelling of 965556 in words is "nine hundred sixty-five thousand, five hundred fifty-six".