38395 has 8 divisors (see below), whose sum is σ = 52704. Its totient is φ = 26304.

The previous prime is 38393. The next prime is 38431. The reversal of 38395 is 59383.

It is a happy number.

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 38395 - 2¹ = 38393 is a prime.

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 (38393) 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 7 ways as a sum of consecutive naturals, for example, 514 + ... + 583.

It is an arithmetic number, because the mean of its divisors is an integer number (6588).

2³⁸³⁹⁵ is an apocalyptic number.

38395 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

38395 is a deficient number, since it is larger than the sum of its proper divisors (14309).

38395 is a wasteful number, since it uses less digits than its factorization.

38395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109.

The product of its digits is 3240, while the sum is 28.

The square root of 38395 is about 195.9464212483. The cubic root of 38395 is about 33.7358422557.

It can be divided in two parts, 3839 and 5, that added together give a square (3844 = 62²).

The spelling of 38395 in words is "thirty-eight thousand, three hundred ninety-five".