33865 has 8 divisors (see below), whose sum is σ = 43848. Its totient is φ = 24960.

The previous prime is 33863. The next prime is 33871. The reversal of 33865 is 56833.

It can be written as a sum of positive squares in 4 ways, for example, as 9 + 33856 = 3^2 + 184^2 .

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

It is not a de Polignac number, because 33865 - 2¹ = 33863 is a prime.

It is a super-2 number, since 2×33865² = 2293676450, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3³ + 3⁶ + 8⁵ + 6³ + 5³ .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 196 + ... + 325.

It is an arithmetic number, because the mean of its divisors is an integer number (5481).

2³³⁸⁶⁵ is an apocalyptic number.

It is an amenable number.

33865 is a deficient number, since it is larger than the sum of its proper divisors (9983).

33865 is a wasteful number, since it uses less digits than its factorization.

33865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539.

The product of its digits is 2160, while the sum is 25.

The square root of 33865 is about 184.0244548966. The cubic root of 33865 is about 32.3531839230.

It can be divided in two parts, 33 and 865, that added together give a palindrome (898).

The spelling of 33865 in words is "thirty-three thousand, eight hundred sixty-five".