212827 has 2 divisors, whose sum is σ = 212828. Its totient is φ = 212826.

The previous prime is 212801. The next prime is 212837. The reversal of 212827 is 728212.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212827 is a prime.

It is a plaindrome in base 11 and base 14.

It is a junction number, because it is equal to n+sod(n) for n = 212798 and 212807.

It is not a weakly prime, because it can be changed into another prime (212837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106413 + 106414.

It is an arithmetic number, because the mean of its divisors is an integer number (106414).

2²¹²⁸²⁷ is an apocalyptic number.

212827 is a deficient number, since it is larger than the sum of its proper divisors (1).

212827 is an equidigital number, since it uses as much as digits as its factorization.

212827 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 448, while the sum is 22.

The square root of 212827 is about 461.3317678201. The cubic root of 212827 is about 59.7047532426.

The spelling of 212827 in words is "two hundred twelve thousand, eight hundred twenty-seven".