965633 has 4 divisors (see below), whose sum is σ = 972720. Its totient is φ = 958548.

The previous prime is 965623. The next prime is 965639. The reversal of 965633 is 336569.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 336569 = 41 ⋅8209.

It is a cyclic number.

It is not a de Polignac number, because 965633 - 2¹⁰ = 964609 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 965633.

It is not an unprimeable number, because it can be changed into a prime (965639) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3335 + ... + 3612.

It is an arithmetic number, because the mean of its divisors is an integer number (243180).

It is a Proth number, since it is equal to 943 ⋅ 2¹⁰ + 1 and 943 < 2¹⁰.

2⁹⁶⁵⁶³³ is an apocalyptic number.

It is an amenable number.

965633 is a deficient number, since it is larger than the sum of its proper divisors (7087).

965633 is a wasteful number, since it uses less digits than its factorization.

965633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7086.

The product of its digits is 14580, while the sum is 32.

The square root of 965633 is about 982.6662709181. Note that the first 3 decimals coincide. The cubic root of 965633 is about 98.8410536552.

The spelling of 965633 in words is "nine hundred sixty-five thousand, six hundred thirty-three".