38105613 has 48 divisors (see below), whose sum is σ = 69920640. Its totient is φ = 20082816.

The previous prime is 38105609. The next prime is 38105633. The reversal of 38105613 is 31650183.

38105613 is a `hidden beast` number, since 38 + 10 + 5 + 613 = 666.

It is not a de Polignac number, because 38105613 - 2² = 38105609 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38105633) 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 in 47 ways as a sum of consecutive naturals, for example, 31345 + ... + 32537.

It is an arithmetic number, because the mean of its divisors is an integer number (1456680).

Almost surely, 2^38105613 is an apocalyptic number.

It is an amenable number.

38105613 is a deficient number, since it is larger than the sum of its proper divisors (31815027).

38105613 is a wasteful number, since it uses less digits than its factorization.

38105613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 38105613 is about 6172.9744046124. The cubic root of 38105613 is about 336.5087160042.

Adding to 38105613 its reverse (31650183), we get a palindrome (69755796).

The spelling of 38105613 in words is "thirty-eight million, one hundred five thousand, six hundred thirteen".