38011 has 2 divisors, whose sum is σ = 38012. Its totient is φ = 38010.

The previous prime is 37997. The next prime is 38039. The reversal of 38011 is 11083.

It is a weak prime.

It is an emirp because it is prime and its reverse (11083) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 38011 - 2¹¹ = 35963 is a prime.

It is a super-2 number, since 2×38011² = 2889672242, which contains 22 as substring.

It is a Chen prime.

It is equal to p₄₀₁₈ and since 38011 and 4018 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 = 37982 and 38000.

It is not a weakly prime, because it can be changed into another prime (38611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19005 + 19006.

It is an arithmetic number, because the mean of its divisors is an integer number (19006).

2³⁸⁰¹¹ is an apocalyptic number.

38011 is a deficient number, since it is larger than the sum of its proper divisors (1).

38011 is an equidigital number, since it uses as much as digits as its factorization.

38011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 38011 is about 194.9640992593. The cubic root of 38011 is about 33.6229977664.

Adding to 38011 its reverse (11083), we get a palindrome (49094).

The spelling of 38011 in words is "thirty-eight thousand, eleven".