38361 has 8 divisors (see below), whose sum is σ = 53920. Its totient is φ = 24192.

The previous prime is 38351. The next prime is 38371. The reversal of 38361 is 16383.

It is an interprime number because it is at equal distance from previous prime (38351) and next prime (38371).

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

It is not a de Polignac number, because 38361 - 2⁵ = 38329 is a prime.

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

It is a Duffinian number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (38321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 280 + ... + 393.

It is an arithmetic number, because the mean of its divisors is an integer number (6740).

2³⁸³⁶¹ is an apocalyptic number.

It is an amenable number.

38361 is a deficient number, since it is larger than the sum of its proper divisors (15559).

38361 is a wasteful number, since it uses less digits than its factorization.

38361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695.

The product of its digits is 432, while the sum is 21.

The square root of 38361 is about 195.8596436227. The cubic root of 38361 is about 33.7258812592.

It can be divided in two parts, 383 and 61, that added together give a palindrome (444).

The spelling of 38361 in words is "thirty-eight thousand, three hundred sixty-one".