838400141 has 2 divisors, whose sum is σ = 838400142. Its totient is φ = 838400140.

The previous prime is 838400119. The next prime is 838400153. The reversal of 838400141 is 141004838.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 822829225 + 15570916 = 28685^2 + 3946^2 .

It is a cyclic number.

It is not a de Polignac number, because 838400141 - 2⁶ = 838400077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (838403141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 419200070 + 419200071.

It is an arithmetic number, because the mean of its divisors is an integer number (419200071).

Almost surely, 2^838400141 is an apocalyptic number.

It is an amenable number.

838400141 is a deficient number, since it is larger than the sum of its proper divisors (1).

838400141 is an equidigital number, since it uses as much as digits as its factorization.

838400141 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 838400141 is about 28955.1401481671. The cubic root of 838400141 is about 942.9393959059.

Adding to 838400141 its reverse (141004838), we get a palindrome (979404979).

The spelling of 838400141 in words is "eight hundred thirty-eight million, four hundred thousand, one hundred forty-one".