213685033 has 2 divisors, whose sum is σ = 213685034. Its totient is φ = 213685032.

The previous prime is 213684997. The next prime is 213685061. The reversal of 213685033 is 330586312.

213685033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 135769104 + 77915929 = 11652^2 + 8827^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-213685033 is a prime.

It is a super-2 number, since 2×213685033² = 91322586656422178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213684986 and 213685004.

It is not a weakly prime, because it can be changed into another prime (213685333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106842516 + 106842517.

It is an arithmetic number, because the mean of its divisors is an integer number (106842517).

Almost surely, 2^213685033 is an apocalyptic number.

It is an amenable number.

213685033 is a deficient number, since it is larger than the sum of its proper divisors (1).

213685033 is an equidigital number, since it uses as much as digits as its factorization.

213685033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 213685033 is about 14617.9695238429. The cubic root of 213685033 is about 597.8488085468.

The spelling of 213685033 in words is "two hundred thirteen million, six hundred eighty-five thousand, thirty-three".