38335 has 16 divisors (see below), whose sum is σ = 54432. Its totient is φ = 25600.

The previous prime is 38333. The next prime is 38351. The reversal of 38335 is 53383.

It is not a de Polignac number, because 38335 - 2¹ = 38333 is a prime.

It is a Duffinian number.

It is a plaindrome in base 8 and base 13.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38333) 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 15 ways as a sum of consecutive naturals, for example, 915 + ... + 955.

It is an arithmetic number, because the mean of its divisors is an integer number (3402).

2³⁸³³⁵ is an apocalyptic number.

38335 is a deficient number, since it is larger than the sum of its proper divisors (16097).

38335 is a wasteful number, since it uses less digits than its factorization.

38335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74.

The product of its digits is 1080, while the sum is 22.

The square root of 38335 is about 195.7932583109. The cubic root of 38335 is about 33.7182600546.

It can be divided in two parts, 38 and 335, that added together give a palindrome (373).

The spelling of 38335 in words is "thirty-eight thousand, three hundred thirty-five".