38906561 has 2 divisors, whose sum is σ = 38906562. Its totient is φ = 38906560.

The previous prime is 38906551. The next prime is 38906563. The reversal of 38906561 is 16560983.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22657600 + 16248961 = 4760^2 + 4031^2 .

It is an emirp because it is prime and its reverse (16560983) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 38906561 - 2²² = 34712257 is a prime.

Together with 38906563, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (38906563) 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, 19453280 + 19453281.

It is an arithmetic number, because the mean of its divisors is an integer number (19453281).

Almost surely, 2^38906561 is an apocalyptic number.

It is an amenable number.

38906561 is a deficient number, since it is larger than the sum of its proper divisors (1).

38906561 is an equidigital number, since it uses as much as digits as its factorization.

38906561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 38906561 is about 6237.5124047973. The cubic root of 38906561 is about 338.8500974600.

The spelling of 38906561 in words is "thirty-eight million, nine hundred six thousand, five hundred sixty-one".