38367 has 24 divisors (see below), whose sum is σ = 68400. Its totient is φ = 21168.

The previous prime is 38351. The next prime is 38371. The reversal of 38367 is 76383.

It is a happy number.

It is not a de Polignac number, because 38367 - 2⁴ = 38351 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 38367.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38317) 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 23 ways as a sum of consecutive naturals, for example, 1309 + ... + 1337.

It is an arithmetic number, because the mean of its divisors is an integer number (2850).

2³⁸³⁶⁷ is an apocalyptic number.

38367 is a deficient number, since it is larger than the sum of its proper divisors (30033).

38367 is a wasteful number, since it uses less digits than its factorization.

38367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 39 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 38367 is about 195.8749601149. The cubic root of 38367 is about 33.7276395097.

The spelling of 38367 in words is "thirty-eight thousand, three hundred sixty-seven".