1978001829 has 16 divisors (see below), whose sum is σ = 2933251200. Its totient is φ = 1317372768.

The previous prime is 1978001819. The next prime is 1978001843. The reversal of 1978001829 is 9281008791.

It is not a de Polignac number, because 1978001829 - 2¹⁵ = 1977969061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1978001819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7569 + ... + 63350.

It is an arithmetic number, because the mean of its divisors is an integer number (183328200).

Almost surely, 2^1978001829 is an apocalyptic number.

It is an amenable number.

1978001829 is a deficient number, since it is larger than the sum of its proper divisors (955249371).

1978001829 is a wasteful number, since it uses less digits than its factorization.

1978001829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71961 (or 71955 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The square root of 1978001829 is about 44474.7324781162. The cubic root of 1978001829 is about 1255.2846830674.

The spelling of 1978001829 in words is "one billion, nine hundred seventy-eight million, one thousand, eight hundred twenty-nine".