216967 has 2 divisors, whose sum is σ = 216968. Its totient is φ = 216966.

The previous prime is 216947. The next prime is 216973. The reversal of 216967 is 769612.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 216967 - 2¹⁵ = 184199 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 13 and base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (216917) 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, 108483 + 108484.

It is an arithmetic number, because the mean of its divisors is an integer number (108484).

2²¹⁶⁹⁶⁷ is an apocalyptic number.

216967 is a deficient number, since it is larger than the sum of its proper divisors (1).

216967 is an equidigital number, since it uses as much as digits as its factorization.

216967 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4536, while the sum is 31.

The square root of 216967 is about 465.7971661571. The cubic root of 216967 is about 60.0894037537.

The spelling of 216967 in words is "two hundred sixteen thousand, nine hundred sixty-seven".