213827 has 2 divisors, whose sum is σ = 213828. Its totient is φ = 213826.

The previous prime is 213821. The next prime is 213833. The reversal of 213827 is 728312.

213827 is nontrivially palindromic in base 16.

213827 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

It is a balanced prime because it is at equal distance from previous prime (213821) and next prime (213833).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-213827 is a prime.

213827 is an undulating number in base 16.

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 213827.

It is not a weakly prime, because it can be changed into another prime (213821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106913 + 106914.

It is an arithmetic number, because the mean of its divisors is an integer number (106914).

2²¹³⁸²⁷ is an apocalyptic number.

213827 is a deficient number, since it is larger than the sum of its proper divisors (1).

213827 is an equidigital number, since it uses as much as digits as its factorization.

213827 is an evil number, because the sum of its binary digits is even.

The product of its digits is 672, while the sum is 23.

The square root of 213827 is about 462.4143163874. The cubic root of 213827 is about 59.7981177843.

The spelling of 213827 in words is "two hundred thirteen thousand, eight hundred twenty-seven".