38306 has 8 divisors (see below), whose sum is σ = 58320. Its totient is φ = 18868.

The previous prime is 38303. The next prime is 38317. The reversal of 38306 is 60383.

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

It is a plaindrome in base 13.

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38306.

It is not an unprimeable number, because it can be changed into a prime (38303) 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 3 ways as a sum of consecutive naturals, for example, 125 + ... + 303.

It is an arithmetic number, because the mean of its divisors is an integer number (7290).

2³⁸³⁰⁶ is an apocalyptic number.

38306 is a deficient number, since it is larger than the sum of its proper divisors (20014).

38306 is a wasteful number, since it uses less digits than its factorization.

38306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288.

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 38306 is about 195.7191865914. The cubic root of 38306 is about 33.7097554138.

Adding to 38306 its reverse (60383), we get a palindrome (98689).

It can be divided in two parts, 38 and 306, that multiplied together give a triangular number (11628 = T₁₅₂).

The spelling of 38306 in words is "thirty-eight thousand, three hundred six".