3400213 has 2 divisors, whose sum is σ = 3400214. Its totient is φ = 3400212.

The previous prime is 3400211. The next prime is 3400217. The reversal of 3400213 is 3120043.

3400213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2748964 + 651249 = 1658^2 + 807^2 .

It is a cyclic number.

It is not a de Polignac number, because 3400213 - 2¹ = 3400211 is a prime.

It is a super-2 number, since 2×3400213² = 23122896890738, which contains 22 as substring.

Together with 3400211, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 3400193 and 3400202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3400211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1700106 + 1700107.

It is an arithmetic number, because the mean of its divisors is an integer number (1700107).

Almost surely, 2^3400213 is an apocalyptic number.

It is an amenable number.

3400213 is a deficient number, since it is larger than the sum of its proper divisors (1).

3400213 is an equidigital number, since it uses as much as digits as its factorization.

3400213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 3400213 is about 1843.9666482884. The cubic root of 3400213 is about 150.3725996231.

Adding to 3400213 its reverse (3120043), we get a palindrome (6520256).

The spelling of 3400213 in words is "three million, four hundred thousand, two hundred thirteen".