829224021 has 16 divisors (see below), whose sum is σ = 1115947008. Its totient is φ = 547671600.

The previous prime is 829224013. The next prime is 829224029. The reversal of 829224021 is 120422928.

It is an interprime number because it is at equal distance from previous prime (829224013) and next prime (829224029).

It is not a de Polignac number, because 829224021 - 2³ = 829224013 is a prime.

It is a super-2 number, since 2×829224021² = 1375224954006816882, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 829224021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829224029) 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, 391756 + ... + 393866.

It is an arithmetic number, because the mean of its divisors is an integer number (69746688).

Almost surely, 2^829224021 is an apocalyptic number.

It is an amenable number.

829224021 is a deficient number, since it is larger than the sum of its proper divisors (286722987).

829224021 is a wasteful number, since it uses less digits than its factorization.

829224021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3272.

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 829224021 is about 28796.2501204584. The cubic root of 829224021 is about 939.4866749879.

Adding to 829224021 its reverse (120422928), we get a palindrome (949646949).

The spelling of 829224021 in words is "eight hundred twenty-nine million, two hundred twenty-four thousand, twenty-one".