33521 has 2 divisors, whose sum is σ = 33522. Its totient is φ = 33520.

The previous prime is 33503. The next prime is 33529. The reversal of 33521 is 12533.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25600 + 7921 = 160^2 + 89^2 .

It is a cyclic number.

It is not a de Polignac number, because 33521 - 2^{6} = 33457 is a prime.

It is a super-2 number, since 2×33521^{2} = 2247314882, 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 junction number, because it is equal to *n*+sod(*n*) for *n* = 33496 and 33505.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33529) 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, 16760 + 16761.

It is an arithmetic number, because the mean of its divisors is an integer number (16761).

2^{33521} is an apocalyptic number.

It is an amenable number.

33521 is a deficient number, since it is larger than the sum of its proper divisors (1).

33521 is an equidigital number, since it uses as much as digits as its factorization.

33521 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 90, while the sum is 14.

The square root of 33521 is about 183.0874108179. The cubic root of 33521 is about 32.2432632204.

The spelling of 33521 in words is "thirty-three thousand, five hundred twenty-one".

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