829533921 has 16 divisors (see below), whose sum is σ = 1172205504. Its totient is φ = 520003584.

The previous prime is 829533917. The next prime is 829533997. The reversal of 829533921 is 129335928.

It is not a de Polignac number, because 829533921 - 2² = 829533917 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (829533121) 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, 51750 + ... + 65856.

It is an arithmetic number, because the mean of its divisors is an integer number (73262844).

Almost surely, 2^829533921 is an apocalyptic number.

It is an amenable number.

829533921 is a deficient number, since it is larger than the sum of its proper divisors (342671583).

829533921 is a wasteful number, since it uses less digits than its factorization.

829533921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15280.

The product of its digits is 116640, while the sum is 42.

The square root of 829533921 is about 28801.6305267601. The cubic root of 829533921 is about 939.6036963040.

The spelling of 829533921 in words is "eight hundred twenty-nine million, five hundred thirty-three thousand, nine hundred twenty-one".