33965 has 4 divisors (see below), whose sum is σ = 40764. Its totient is φ = 27168.

The previous prime is 33961. The next prime is 33967. The reversal of 33965 is 56933.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 7396 + 26569 = 86^2 + 163^2 .

It is a cyclic number.

It is not a de Polignac number, because 33965 - 2² = 33961 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 11.

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 (33961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3392 + ... + 3401.

It is an arithmetic number, because the mean of its divisors is an integer number (10191).

2³³⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

33965 is a deficient number, since it is larger than the sum of its proper divisors (6799).

33965 is an equidigital number, since it uses as much as digits as its factorization.

33965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6798.

The product of its digits is 2430, while the sum is 26.

The square root of 33965 is about 184.2959576334. The cubic root of 33965 is about 32.3849978812.

It can be divided in two parts, 339 and 65, that added together give a palindrome (404).

The spelling of 33965 in words is "thirty-three thousand, nine hundred sixty-five".