838144001 has 2 divisors, whose sum is σ = 838144002. Its totient is φ = 838144000.

The previous prime is 838143983. The next prime is 838144019. The reversal of 838144001 is 100441838.

It is a balanced prime because it is at equal distance from previous prime (838143983) and next prime (838144019).

It can be written as a sum of positive squares in only one way, i.e., 829382401 + 8761600 = 28799^2 + 2960^2 .

It is a cyclic number.

It is not a de Polignac number, because 838144001 - 2²⁶ = 771035137 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (838144031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 419072000 + 419072001.

It is an arithmetic number, because the mean of its divisors is an integer number (419072001).

Almost surely, 2^838144001 is an apocalyptic number.

It is an amenable number.

838144001 is a deficient number, since it is larger than the sum of its proper divisors (1).

838144001 is an equidigital number, since it uses as much as digits as its factorization.

838144001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 838144001 is about 28950.7167614206. The cubic root of 838144001 is about 942.8433601805.

Adding to 838144001 its reverse (100441838), we get a palindrome (938585839).

The spelling of 838144001 in words is "eight hundred thirty-eight million, one hundred forty-four thousand, one".