213533 has 2 divisors, whose sum is σ = 213534. Its totient is φ = 213532.

The previous prime is 213523. The next prime is 213539. The reversal of 213533 is 335312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 174724 + 38809 = 418^2 + 197^2 .

It is a cyclic number.

It is not a de Polignac number, because 213533 - 2¹⁶ = 147997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213539) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106766 + 106767.

It is an arithmetic number, because the mean of its divisors is an integer number (106767).

2²¹³⁵³³ is an apocalyptic number.

It is an amenable number.

213533 is a deficient number, since it is larger than the sum of its proper divisors (1).

213533 is an equidigital number, since it uses as much as digits as its factorization.

213533 is an evil number, because the sum of its binary digits is even.

The product of its digits is 270, while the sum is 17.

The square root of 213533 is about 462.0963103077. The cubic root of 213533 is about 59.7706988736.

Adding to 213533 its reverse (335312), we get a palindrome (548845).

The spelling of 213533 in words is "two hundred thirteen thousand, five hundred thirty-three".