33461 has 2 divisors, whose sum is σ = 33462. Its totient is φ = 33460.

The previous prime is 33457. The next prime is 33469. The reversal of 33461 is 16433.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28561 + 4900 = 169^2 + 70^2 .

It is an emirp because it is prime and its reverse (16433) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33461 - 2² = 33457 is a prime.

It is a super-2 number, since 2×33461² = 2239277042, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a plaindrome in base 13.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33469) 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 as a sum of consecutive naturals, namely, 16730 + 16731.

It is an arithmetic number, because the mean of its divisors is an integer number (16731).

2³³⁴⁶¹ is an apocalyptic number.

It is an amenable number.

33461 is a deficient number, since it is larger than the sum of its proper divisors (1).

33461 is an equidigital number, since it uses as much as digits as its factorization.

33461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 216, while the sum is 17.

The square root of 33461 is about 182.9234812702. The cubic root of 33461 is about 32.2240140810.

Adding to 33461 its reverse (16433), we get a palindrome (49894).

It can be divided in two parts, 33 and 461, that added together give a palindrome (494).

The spelling of 33461 in words is "thirty-three thousand, four hundred sixty-one".