38132813 has 2 divisors, whose sum is σ = 38132814. Its totient is φ = 38132812.

The previous prime is 38132807. The next prime is 38132879. The reversal of 38132813 is 31823183.

38132813 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., 22108804 + 16024009 = 4702^2 + 4003^2 .

It is a cyclic number.

It is not a de Polignac number, because 38132813 - 2⁴ = 38132797 is a prime.

It is a super-2 number, since 2×38132813² = 2908222854585938, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38132803) 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, 19066406 + 19066407.

It is an arithmetic number, because the mean of its divisors is an integer number (19066407).

Almost surely, 2^38132813 is an apocalyptic number.

It is an amenable number.

38132813 is a deficient number, since it is larger than the sum of its proper divisors (1).

38132813 is an equidigital number, since it uses as much as digits as its factorization.

38132813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3456, while the sum is 29.

The square root of 38132813 is about 6175.1771634505. The cubic root of 38132813 is about 336.5887642297.

Adding to 38132813 its reverse (31823183), we get a palindrome (69955996).

The spelling of 38132813 in words is "thirty-eight million, one hundred thirty-two thousand, eight hundred thirteen".