38642633 has 2 divisors, whose sum is σ = 38642634. Its totient is φ = 38642632.

The previous prime is 38642629. The next prime is 38642651. The reversal of 38642633 is 33624683.

38642633 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37112464 + 1530169 = 6092^2 + 1237^2 .

It is an emirp because it is prime and its reverse (33624683) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 38642633 - 2² = 38642629 is a prime.

It is a Chen prime.

It is equal to p_2355848 and since 38642633 and 2355848 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 38642593 and 38642602.

It is not a weakly prime, because it can be changed into another prime (38642033) 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, 19321316 + 19321317.

It is an arithmetic number, because the mean of its divisors is an integer number (19321317).

Almost surely, 2^38642633 is an apocalyptic number.

It is an amenable number.

38642633 is a deficient number, since it is larger than the sum of its proper divisors (1).

38642633 is an equidigital number, since it uses as much as digits as its factorization.

38642633 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 62208, while the sum is 35.

The square root of 38642633 is about 6216.3198920261. The cubic root of 38642633 is about 338.0821462745.

The spelling of 38642633 in words is "thirty-eight million, six hundred forty-two thousand, six hundred thirty-three".