820144001 has 8 divisors (see below), whose sum is σ = 823280640. Its totient is φ = 817013952.

The previous prime is 820143997. The next prime is 820144007. The reversal of 820144001 is 100441028.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 820144001 - 2² = 820143997 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (820144007) 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 7 ways as a sum of consecutive naturals, for example, 448976 + ... + 450798.

It is an arithmetic number, because the mean of its divisors is an integer number (102910080).

Almost surely, 2^820144001 is an apocalyptic number.

It is an amenable number.

820144001 is a deficient number, since it is larger than the sum of its proper divisors (3136639).

820144001 is a wasteful number, since it uses less digits than its factorization.

820144001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3295.

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 820144001 is about 28638.1563827003. The cubic root of 820144001 is about 936.0449491557.

Adding to 820144001 its reverse (100441028), we get a palindrome (920585029).

The spelling of 820144001 in words is "eight hundred twenty million, one hundred forty-four thousand, one".