33361 has 4 divisors (see below), whose sum is σ = 33892. Its totient is φ = 32832.

The previous prime is 33359. The next prime is 33377. The reversal of 33361 is 16333.

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 24336 + 9025 = 156^2 + 95^2 .

It is a cyclic number.

It is not a de Polignac number, because 33361 - 2¹ = 33359 is a prime.

It is a super-2 number, since 2×33361² = 2225912642, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33301) 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 3 ways as a sum of consecutive naturals, for example, 156 + ... + 301.

It is an arithmetic number, because the mean of its divisors is an integer number (8473).

2³³³⁶¹ is an apocalyptic number.

It is an amenable number.

33361 is a deficient number, since it is larger than the sum of its proper divisors (531).

33361 is an equidigital number, since it uses as much as digits as its factorization.

33361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530.

The product of its digits is 162, while the sum is 16.

The square root of 33361 is about 182.6499384068. The cubic root of 33361 is about 32.1918809822.

Adding to 33361 its reverse (16333), we get a palindrome (49694).

It can be divided in two parts, 3 and 3361, that added together give a square (3364 = 58²).

The spelling of 33361 in words is "thirty-three thousand, three hundred sixty-one".