38106821 has 2 divisors, whose sum is σ = 38106822. Its totient is φ = 38106820.

The previous prime is 38106787. The next prime is 38106823. The reversal of 38106821 is 12860183.

38106821 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27144100 + 10962721 = 5210^2 + 3311^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-38106821 is a prime.

Together with 38106823, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38106823) 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 as a sum of consecutive naturals, namely, 19053410 + 19053411.

It is an arithmetic number, because the mean of its divisors is an integer number (19053411).

Almost surely, 2^38106821 is an apocalyptic number.

It is an amenable number.

38106821 is a deficient number, since it is larger than the sum of its proper divisors (1).

38106821 is an equidigital number, since it uses as much as digits as its factorization.

38106821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 38106821 is about 6173.0722496987. The cubic root of 38106821 is about 336.5122718954.

The spelling of 38106821 in words is "thirty-eight million, one hundred six thousand, eight hundred twenty-one".