33409 has 2 divisors, whose sum is σ = 33410. Its totient is φ = 33408.

The previous prime is 33403. The next prime is 33413. The reversal of 33409 is 90433.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23409 + 10000 = 153^2 + 100^2 .

It is a cyclic number.

It is not a de Polignac number, because 33409 - 2⁵ = 33377 is a prime.

It is a super-2 number, since 2×33409² = 2232322562, which contains 22 as substring.

It is a plaindrome in base 13.

It is not a weakly prime, because it can be changed into another prime (33403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16704 + 16705.

It is an arithmetic number, because the mean of its divisors is an integer number (16705).

2³³⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

33409 is a deficient number, since it is larger than the sum of its proper divisors (1).

33409 is an equidigital number, since it uses as much as digits as its factorization.

33409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 33409 is about 182.7812900709. The cubic root of 33409 is about 32.2073128717.

Adding to 33409 its product of nonzero digits (324), we get a palindrome (33733).

The spelling of 33409 in words is "thirty-three thousand, four hundred nine".