83838301 has 2 divisors, whose sum is σ = 83838302. Its totient is φ = 83838300.

The previous prime is 83838299. The next prime is 83838311. The reversal of 83838301 is 10383838.

83838301 = 6474² + 6475².

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41925625 + 41912676 = 6475^2 + 6474^2 .

It is a cyclic number.

It is not a de Polignac number, because 83838301 - 2¹ = 83838299 is a prime.

Together with 83838299, it forms a pair of twin primes.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (83838311) 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, 41919150 + 41919151.

It is an arithmetic number, because the mean of its divisors is an integer number (41919151).

Almost surely, 2^83838301 is an apocalyptic number.

83838301 is the 6475-th centered square number.

It is an amenable number.

83838301 is a deficient number, since it is larger than the sum of its proper divisors (1).

83838301 is an equidigital number, since it uses as much as digits as its factorization.

83838301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 83838301 is about 9156.3257368881. The cubic root of 83838301 is about 437.6707160704.

The spelling of 83838301 in words is "eighty-three million, eight hundred thirty-eight thousand, three hundred one".