3413 has 2 divisors, whose sum is σ = 3414. Its totient is φ = 3412.

The previous prime is 3407. The next prime is 3433. The reversal of 3413 is 3143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3364 + 49 = 58^2 + 7^2 .

It is a cyclic number.

It is not a de Polignac number, because 3413 - 2¹⁰ = 2389 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a plaindrome in base 6 and base 14.

It is a nialpdrome in base 4 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 3394 and 3403.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3433) 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, 1706 + 1707.

It is an arithmetic number, because the mean of its divisors is an integer number (1707).

It is an amenable number.

3413 is a deficient number, since it is larger than the sum of its proper divisors (1).

3413 is an equidigital number, since it uses as much as digits as its factorization.

3413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36, while the sum is 11.

The square root of 3413 is about 58.4208866759. The cubic root of 3413 is about 15.0560863232.

Adding to 3413 its reverse (3143), we get a palindrome (6556).

The spelling of 3413 in words is "three thousand, four hundred thirteen".