795963 has 16 divisors (see below), whose sum is σ = 1255680. Its totient is φ = 438816.

The previous prime is 795947. The next prime is 795979. The reversal of 795963 is 369597.

795963 is digitally balanced in base 2 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (795947) and next prime (795979).

It is not a de Polignac number, because 795963 - 2⁴ = 795947 is a prime.

795963 is strictly pandigital in base 7.

795963 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 795963.

It is not an unprimeable number, because it can be changed into a prime (795913) 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, 45 + ... + 1262.

It is an arithmetic number, because the mean of its divisors is an integer number (78480).

2⁷⁹⁵⁹⁶³ is an apocalyptic number.

795963 is a deficient number, since it is larger than the sum of its proper divisors (459717).

795963 is a wasteful number, since it uses less digits than its factorization.

795963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346.

The product of its digits is 51030, while the sum is 39.

The square root of 795963 is about 892.1675851543. The cubic root of 795963 is about 92.6753624904.

The spelling of 795963 in words is "seven hundred ninety-five thousand, nine hundred sixty-three".