829963 has 8 divisors (see below), whose sum is σ = 878976. Its totient is φ = 782400.

The previous prime is 829949. The next prime is 829967. The reversal of 829963 is 369928.

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

It is a cyclic number.

It is not a de Polignac number, because 829963 - 2¹³ = 821771 is a prime.

It is a Duffinian number.

829963 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (829967) 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, 945 + ... + 1597.

It is an arithmetic number, because the mean of its divisors is an integer number (109872).

2⁸²⁹⁹⁶³ is an apocalyptic number.

829963 is a deficient number, since it is larger than the sum of its proper divisors (49013).

829963 is a wasteful number, since it uses less digits than its factorization.

829963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725.

The product of its digits is 23328, while the sum is 37.

The square root of 829963 is about 911.0230513000. The cubic root of 829963 is about 93.9765672691.

The spelling of 829963 in words is "eight hundred twenty-nine thousand, nine hundred sixty-three".