213727 has 2 divisors, whose sum is σ = 213728. Its totient is φ = 213726.

The previous prime is 213721. The next prime is 213737. The reversal of 213727 is 727312.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 213727 - 2⁷ = 213599 is a prime.

It is an Ulam number.

213727 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 213698 and 213707.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106863 + 106864.

It is an arithmetic number, because the mean of its divisors is an integer number (106864).

2²¹³⁷²⁷ is an apocalyptic number.

213727 is a deficient number, since it is larger than the sum of its proper divisors (1).

213727 is an equidigital number, since it uses as much as digits as its factorization.

213727 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 588, while the sum is 22.

The square root of 213727 is about 462.3061756023. The cubic root of 213727 is about 59.7887944463.

The spelling of 213727 in words is "two hundred thirteen thousand, seven hundred twenty-seven".