38265 has 8 divisors (see below), whose sum is σ = 61248. Its totient is φ = 20400.

The previous prime is 38261. The next prime is 38273. The reversal of 38265 is 56283.

38265 = T₅₆ + T₅₇ + ... + T₇₃.

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

It is not a de Polignac number, because 38265 - 2² = 38261 is a prime.

38265 is a lucky number.

It is a plaindrome in base 13.

It is a nialpdrome in base 14 and base 15.

It is a zygodrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38265.

It is not an unprimeable number, because it can be changed into a prime (38261) 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, 1261 + ... + 1290.

It is an arithmetic number, because the mean of its divisors is an integer number (7656).

2³⁸²⁶⁵ is an apocalyptic number.

It is an amenable number.

38265 is a deficient number, since it is larger than the sum of its proper divisors (22983).

38265 is a wasteful number, since it uses less digits than its factorization.

38265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2559.

The product of its digits is 1440, while the sum is 24.

The square root of 38265 is about 195.6144166466. The cubic root of 38265 is about 33.6977242840.

It can be divided in two parts, 38 and 265, that added together give a palindrome (303).

The spelling of 38265 in words is "thirty-eight thousand, two hundred sixty-five".