965865 has 16 divisors (see below), whose sum is σ = 1627200. Its totient is φ = 487872.

The previous prime is 965857. The next prime is 965893. The reversal of 965865 is 568569.

It is not a de Polignac number, because 965865 - 2³ = 965857 is a prime.

965865 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 965865.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1410 + ... + 1979.

It is an arithmetic number, because the mean of its divisors is an integer number (101700).

2⁹⁶⁵⁸⁶⁵ is an apocalyptic number.

965865 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

965865 is a deficient number, since it is larger than the sum of its proper divisors (661335).

965865 is a wasteful number, since it uses less digits than its factorization.

965865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3416.

The product of its digits is 64800, while the sum is 39.

The square root of 965865 is about 982.7843100091. The cubic root of 965865 is about 98.8489687701.

It can be divided in two parts, 965 and 865, that added together give a triangular number (1830 = T₆₀).

The spelling of 965865 in words is "nine hundred sixty-five thousand, eight hundred sixty-five".