965971 has 4 divisors (see below), whose sum is σ = 968112. Its totient is φ = 963832.

The previous prime is 965969. The next prime is 965983. The reversal of 965971 is 179569.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 965971 - 2¹ = 965969 is a prime.

It is a Duffinian number.

965971 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 965971.

It is not an unprimeable number, because it can be changed into a prime (965171) 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 3 ways as a sum of consecutive naturals, for example, 100 + ... + 1393.

It is an arithmetic number, because the mean of its divisors is an integer number (242028).

2⁹⁶⁵⁹⁷¹ is an apocalyptic number.

965971 is a deficient number, since it is larger than the sum of its proper divisors (2141).

965971 is a wasteful number, since it uses less digits than its factorization.

965971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140.

The product of its digits is 17010, while the sum is 37.

The square root of 965971 is about 982.8382369444. The cubic root of 965971 is about 98.8525847369.

It can be divided in two parts, 9659 and 71, that added together give a triangular number (9730 = T₁₃₉).

The spelling of 965971 in words is "nine hundred sixty-five thousand, nine hundred seventy-one".