213833 has 2 divisors, whose sum is σ = 213834. Its totient is φ = 213832.

The previous prime is 213827. The next prime is 213847. The reversal of 213833 is 338312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 170569 + 43264 = 413^2 + 208^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-213833 is a prime.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 213833.

It is not a weakly prime, because it can be changed into another prime (213133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106916 + 106917.

It is an arithmetic number, because the mean of its divisors is an integer number (106917).

2²¹³⁸³³ is an apocalyptic number.

It is an amenable number.

213833 is a deficient number, since it is larger than the sum of its proper divisors (1).

213833 is an equidigital number, since it uses as much as digits as its factorization.

213833 is an evil number, because the sum of its binary digits is even.

The product of its digits is 432, while the sum is 20.

The square root of 213833 is about 462.4208040303. The cubic root of 213833 is about 59.7986770922.

The spelling of 213833 in words is "two hundred thirteen thousand, eight hundred thirty-three".