807963 has 8 divisors (see below), whose sum is σ = 1160208. Its totient is φ = 497184.

The previous prime is 807949. The next prime is 807973. The reversal of 807963 is 369708.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 807963 - 2⁵ = 807931 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 807963.

It is not an unprimeable number, because it can be changed into a prime (807923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10320 + ... + 10397.

It is an arithmetic number, because the mean of its divisors is an integer number (145026).

2⁸⁰⁷⁹⁶³ is an apocalyptic number.

807963 is a deficient number, since it is larger than the sum of its proper divisors (352245).

807963 is a wasteful number, since it uses less digits than its factorization.

807963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20733.

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 807963 is about 898.8676209543. The cubic root of 807963 is about 93.1387684401.

It can be divided in two parts, 807 and 963, that added together give a triangular number (1770 = T₅₉).

The spelling of 807963 in words is "eight hundred seven thousand, nine hundred sixty-three".