828963 has 6 divisors (see below), whose sum is σ = 1197404. Its totient is φ = 552636.

The previous prime is 828953. The next prime is 828967. The reversal of 828963 is 369828.

It is not a de Polignac number, because 828963 - 2⁶ = 828899 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 828963.

It is not an unprimeable number, because it can be changed into a prime (828967) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 46045 + ... + 46062.

2⁸²⁸⁹⁶³ is an apocalyptic number.

828963 is a deficient number, since it is larger than the sum of its proper divisors (368441).

828963 is a wasteful number, since it uses less digits than its factorization.

828963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92113 (or 92110 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 828963 is about 910.4740523486. The cubic root of 828963 is about 93.9388088245.

It can be divided in two parts, 82 and 8963, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 828963 in words is "eight hundred twenty-eight thousand, nine hundred sixty-three".