765963 has 16 divisors (see below), whose sum is σ = 1238400. Its totient is φ = 464040.

The previous prime is 765953. The next prime is 765971. The reversal of 765963 is 369567.

It is a happy number.

It is not a de Polignac number, because 765963 - 2⁵ = 765931 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 765963.

It is not an unprimeable number, because it can be changed into a prime (765913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 993 + ... + 1586.

It is an arithmetic number, because the mean of its divisors is an integer number (77400).

2⁷⁶⁵⁹⁶³ is an apocalyptic number.

765963 is a deficient number, since it is larger than the sum of its proper divisors (472437).

765963 is a wasteful number, since it uses less digits than its factorization.

765963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599 (or 2593 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 765963 is about 875.1931215452. The cubic root of 765963 is about 91.4961030321.

It can be divided in two parts, 765 and 963, that added together give a cube (1728 = 12³).

The spelling of 765963 in words is "seven hundred sixty-five thousand, nine hundred sixty-three".