213523 has 2 divisors, whose sum is σ = 213524. Its totient is φ = 213522.

The previous prime is 213491. The next prime is 213533. The reversal of 213523 is 325312.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 213523 - 2⁵ = 213491 is a prime.

213523 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 213497 and 213506.

It is not a weakly prime, because it can be changed into another prime (213533) 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, 106761 + 106762.

It is an arithmetic number, because the mean of its divisors is an integer number (106762).

2²¹³⁵²³ is an apocalyptic number.

213523 is a deficient number, since it is larger than the sum of its proper divisors (1).

213523 is an equidigital number, since it uses as much as digits as its factorization.

213523 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 180, while the sum is 16.

The square root of 213523 is about 462.0854899258. The cubic root of 213523 is about 59.7697658152.

Adding to 213523 its reverse (325312), we get a palindrome (538835).

The spelling of 213523 in words is "two hundred thirteen thousand, five hundred twenty-three".