33413 has 2 divisors, whose sum is σ = 33414. Its totient is φ = 33412.

The previous prime is 33409. The next prime is 33427. The reversal of 33413 is 31433.

It is a happy number.

It is an a-pointer prime, because the next prime (33427) can be obtained adding 33413 to its sum of digits (14).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33124 + 289 = 182^2 + 17^2 .

It is a cyclic number.

It is not a de Polignac number, because 33413 - 2² = 33409 is a prime.

It is a super-2 number, since 2×33413² = 2232857138, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33403) 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 as a sum of consecutive naturals, namely, 16706 + 16707.

It is an arithmetic number, because the mean of its divisors is an integer number (16707).

2³³⁴¹³ is an apocalyptic number.

It is an amenable number.

33413 is a deficient number, since it is larger than the sum of its proper divisors (1).

33413 is an equidigital number, since it uses as much as digits as its factorization.

33413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 108, while the sum is 14.

The square root of 33413 is about 182.7922317824. The cubic root of 33413 is about 32.2085981951.

Adding to 33413 its reverse (31433), we get a palindrome (64846).

The spelling of 33413 in words is "thirty-three thousand, four hundred thirteen".