829020321 has 12 divisors (see below), whose sum is σ = 1236102400. Its totient is φ = 534851640.

The previous prime is 829020307. The next prime is 829020343. The reversal of 829020321 is 123020928.

It is a happy number.

It is not a de Polignac number, because 829020321 - 2⁵ = 829020289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (829020301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1485421 + ... + 1485978.

Almost surely, 2^829020321 is an apocalyptic number.

It is an amenable number.

829020321 is a deficient number, since it is larger than the sum of its proper divisors (407082079).

829020321 is a wasteful number, since it uses less digits than its factorization.

829020321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2971436 (or 2971433 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 829020321 is about 28792.7129843646. The cubic root of 829020321 is about 939.4097399646.

The spelling of 829020321 in words is "eight hundred twenty-nine million, twenty thousand, three hundred twenty-one".