213712033 has 2 divisors, whose sum is σ = 213712034. Its totient is φ = 213712032.

The previous prime is 213712013. The next prime is 213712043. The reversal of 213712033 is 330217312.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 151979584 + 61732449 = 12328^2 + 7857^2 .

It is a cyclic number.

It is not a de Polignac number, because 213712033 - 2⁹ = 213711521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213711995 and 213712013.

It is not a weakly prime, because it can be changed into another prime (213712013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106856016 + 106856017.

It is an arithmetic number, because the mean of its divisors is an integer number (106856017).

Almost surely, 2^213712033 is an apocalyptic number.

It is an amenable number.

213712033 is a deficient number, since it is larger than the sum of its proper divisors (1).

213712033 is an equidigital number, since it uses as much as digits as its factorization.

213712033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 213712033 is about 14618.8930155467. The cubic root of 213712033 is about 597.8739877210.

Adding to 213712033 its reverse (330217312), we get a palindrome (543929345).

The spelling of 213712033 in words is "two hundred thirteen million, seven hundred twelve thousand, thirty-three".