38105313 has 16 divisors (see below), whose sum is σ = 54149760. Its totient is φ = 23751936.

The previous prime is 38105311. The next prime is 38105323. The reversal of 38105313 is 31350183.

It is not a de Polignac number, because 38105313 - 2¹ = 38105311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38105311) 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 15 ways as a sum of consecutive naturals, for example, 5628 + ... + 10386.

It is an arithmetic number, because the mean of its divisors is an integer number (3384360).

Almost surely, 2^38105313 is an apocalyptic number.

It is an amenable number.

38105313 is a deficient number, since it is larger than the sum of its proper divisors (16044447).

38105313 is a wasteful number, since it uses less digits than its factorization.

38105313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4936.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 38105313 is about 6172.9501050956. The cubic root of 38105313 is about 336.5078329070.

Adding to 38105313 its reverse (31350183), we get a palindrome (69455496).

The spelling of 38105313 in words is "thirty-eight million, one hundred five thousand, three hundred thirteen".