1829934009 has 24 divisors (see below), whose sum is σ = 2824904160. Its totient is φ = 1137452928.

The previous prime is 1829933993. The next prime is 1829934011. The reversal of 1829934009 is 9004399281.

1829934009 is a `hidden beast` number, since 18 + 299 + 340 + 0 + 9 = 666.

It is not a de Polignac number, because 1829934009 - 2⁴ = 1829933993 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 not an unprimeable number, because it can be changed into a prime (1829934079) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39519 + ... + 72260.

It is an arithmetic number, because the mean of its divisors is an integer number (117704340).

Almost surely, 2^1829934009 is an apocalyptic number.

It is an amenable number.

1829934009 is a deficient number, since it is larger than the sum of its proper divisors (994970151).

1829934009 is a wasteful number, since it uses less digits than its factorization.

1829934009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111909 (or 111906 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1829934009 is about 42777.7279550936. The cubic root of 1829934009 is about 1223.1464978514.

The spelling of 1829934009 in words is "one billion, eight hundred twenty-nine million, nine hundred thirty-four thousand, nine".