213333 has 16 divisors (see below), whose sum is σ = 311040. Its totient is φ = 129536.

The previous prime is 213329. The next prime is 213337. The reversal of 213333 is 333312.

It is an interprime number because it is at equal distance from previous prime (213329) and next prime (213337).

It is a cyclic number.

It is not a de Polignac number, because 213333 - 2² = 213329 is a prime.

213333 is a modest number, since divided by 333 gives 213 as remainder.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 213333.

It is not an unprimeable number, because it can be changed into a prime (213337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2353 + ... + 2441.

It is an arithmetic number, because the mean of its divisors is an integer number (19440).

2²¹³³³³ is an apocalyptic number.

213333 is the 267-th octagonal number.

It is an amenable number.

213333 is a deficient number, since it is larger than the sum of its proper divisors (97707).

213333 is a wasteful number, since it uses less digits than its factorization.

213333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156.

The product of its digits is 162, while the sum is 15.

The square root of 213333 is about 461.8798545076. The cubic root of 213333 is about 59.7520321665.

Adding to 213333 its reverse (333312), we get a palindrome (546645).

The spelling of 213333 in words is "two hundred thirteen thousand, three hundred thirty-three".