829668033 has 12 divisors (see below), whose sum is σ = 1213580160. Its totient is φ = 546110136.

The previous prime is 829667977. The next prime is 829668053. The reversal of 829668033 is 330866928.

It is not a de Polignac number, because 829668033 - 2²¹ = 827570881 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 829668033.

It is not an unprimeable number, because it can be changed into a prime (829668053) 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, 582741 + ... + 584162.

It is an arithmetic number, because the mean of its divisors is an integer number (101131680).

Almost surely, 2^829668033 is an apocalyptic number.

It is an amenable number.

829668033 is a deficient number, since it is larger than the sum of its proper divisors (383912127).

829668033 is a wasteful number, since it uses less digits than its factorization.

829668033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166988 (or 1166985 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 829668033 is about 28803.9586341878. The cubic root of 829668033 is about 939.6543292910.

The spelling of 829668033 in words is "eight hundred twenty-nine million, six hundred sixty-eight thousand, thirty-three".