38213 has 8 divisors (see below), whose sum is σ = 44928. Its totient is φ = 31824.

The previous prime is 38201. The next prime is 38219. The reversal of 38213 is 31283.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 38213 - 2⁴ = 38197 is a prime.

It is a Duffinian number.

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 38191 and 38200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 320 + ... + 422.

It is an arithmetic number, because the mean of its divisors is an integer number (5616).

2³⁸²¹³ is an apocalyptic number.

It is an amenable number.

38213 is a deficient number, since it is larger than the sum of its proper divisors (6715).

38213 is a wasteful number, since it uses less digits than its factorization.

38213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163.

The product of its digits is 144, while the sum is 17.

The square root of 38213 is about 195.4814569211. The cubic root of 38213 is about 33.6824529219.

Adding to 38213 its reverse (31283), we get a palindrome (69496).

The spelling of 38213 in words is "thirty-eight thousand, two hundred thirteen".