965961 has 12 divisors (see below), whose sum is σ = 1443780. Its totient is φ = 621600.

The previous prime is 965953. The next prime is 965963. The reversal of 965961 is 169569.

It can be written as a sum of positive squares in 2 ways, for example, as 447561 + 518400 = 669^2 + 720^2 .

It is not a de Polignac number, because 965961 - 2³ = 965953 is a prime.

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 965961.

It is not an unprimeable number, because it can be changed into a prime (965963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1590 + ... + 2111.

It is an arithmetic number, because the mean of its divisors is an integer number (120315).

2⁹⁶⁵⁹⁶¹ is an apocalyptic number.

It is an amenable number.

965961 is a deficient number, since it is larger than the sum of its proper divisors (477819).

965961 is a wasteful number, since it uses less digits than its factorization.

965961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3736 (or 3733 counting only the distinct ones).

The product of its digits is 14580, while the sum is 36.

The square root of 965961 is about 982.8331496241. The cubic root of 965961 is about 98.8522436193.

The spelling of 965961 in words is "nine hundred sixty-five thousand, nine hundred sixty-one".