38567 has 2 divisors, whose sum is σ = 38568. Its totient is φ = 38566.

The previous prime is 38561. The next prime is 38569. The reversal of 38567 is 76583.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 38567 - 2¹² = 34471 is a prime.

Together with 38569, it forms a pair of twin primes.

It is a Chen prime.

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

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38567.

It is not a weakly prime, because it can be changed into another prime (38561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19283 + 19284.

It is an arithmetic number, because the mean of its divisors is an integer number (19284).

2³⁸⁵⁶⁷ is an apocalyptic number.

38567 is a deficient number, since it is larger than the sum of its proper divisors (1).

38567 is an equidigital number, since it uses as much as digits as its factorization.

38567 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5040, while the sum is 29.

The square root of 38567 is about 196.3848262978. The cubic root of 38567 is about 33.7861432644.

The spelling of 38567 in words is "thirty-eight thousand, five hundred sixty-seven".