965633121 has 12 divisors (see below), whose sum is σ = 1395074772. Its totient is φ = 643630176.

The previous prime is 965633101. The next prime is 965633131. The reversal of 965633121 is 121336569.

965633121 is a `hidden beast` number, since 9 + 6 + 5 + 633 + 12 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45360225 + 920272896 = 6735^2 + 30336^2 .

It is not a de Polignac number, because 965633121 - 2⁵ = 965633089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (965633101) 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, 76555 + ... + 88271.

It is an arithmetic number, because the mean of its divisors is an integer number (116256231).

Almost surely, 2^965633121 is an apocalyptic number.

It is an amenable number.

965633121 is a deficient number, since it is larger than the sum of its proper divisors (429441651).

965633121 is a wasteful number, since it uses less digits than its factorization.

965633121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20880 (or 20877 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 965633121 is about 31074.6379061768. The cubic root of 965633121 is about 988.4105778372.

The spelling of 965633121 in words is "nine hundred sixty-five million, six hundred thirty-three thousand, one hundred twenty-one".