821429963 has 8 divisors (see below), whose sum is σ = 826199616. Its totient is φ = 816669000.

The previous prime is 821429929. The next prime is 821430019. The reversal of 821429963 is 369924128.

821429963 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 821429963 - 2⁶ = 821429899 is a prime.

It is a super-2 number, since 2×821429963² = 1349494368228362738, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (821429923) 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, 304820 + ... + 307502.

It is an arithmetic number, because the mean of its divisors is an integer number (103274952).

Almost surely, 2^821429963 is an apocalyptic number.

821429963 is a deficient number, since it is larger than the sum of its proper divisors (4769653).

821429963 is a wasteful number, since it uses less digits than its factorization.

821429963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4345.

The product of its digits is 186624, while the sum is 44.

The square root of 821429963 is about 28660.5994877986. The cubic root of 821429963 is about 936.5339241199.

The spelling of 821429963 in words is "eight hundred twenty-one million, four hundred twenty-nine thousand, nine hundred sixty-three".