1829974209 has 16 divisors (see below), whose sum is σ = 2789666688. Its totient is φ = 1045274112.

The previous prime is 1829974183. The next prime is 1829974229. The reversal of 1829974209 is 9024799281.

It is not a de Polignac number, because 1829974209 - 2¹⁶ = 1829908673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1829974229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39399 + ... + 72195.

It is an arithmetic number, because the mean of its divisors is an integer number (174354168).

Almost surely, 2^1829974209 is an apocalyptic number.

It is an amenable number.

1829974209 is a deficient number, since it is larger than the sum of its proper divisors (959692479).

1829974209 is a wasteful number, since it uses less digits than its factorization.

1829974209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35464.

The product of its (nonzero) digits is 653184, while the sum is 51.

The square root of 1829974209 is about 42778.1978231903. The cubic root of 1829974209 is about 1223.1554544820.

The spelling of 1829974209 in words is "one billion, eight hundred twenty-nine million, nine hundred seventy-four thousand, two hundred nine".